Question
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Find the number that makes the ratio equivalent to \( 2: 4 \).

Ask by Mccoy Ayala. in the United States
Feb 28,2025

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Answer

The number that makes the ratio equivalent to 2:4 is 4.

Solution

The problem can be interpreted as follows: we want to find the number (call it x) that, when paired with 2 in the ratio 2:x, gives a ratio equivalent to 2:4. In other words, we require   2 : x = 2 : 4. Two ratios are equivalent if the fractions they represent are equal. That is,   2/x = 2/4. To solve for x, we proceed by cross multiplying:   2 · 4 = 2 · x,   8 = 2x. Now, divide both sides by 2:   x = 8/2 = 4. Thus, the number you need is 4. Additional Note: Sometimes problems like these ask you to find the missing number in a ratio. For example, if the ratio were ? : 4 and it were equivalent to 2 : 4, then the missing number would be 2 (since 2 : 4 = 2/4 = 1/2). In our case, because we were comparing 2 : x with 2 : 4, the missing number is 4. Final Answer: 4.

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Mind Expander

To find a number that makes the ratio equivalent to \( 2: 4 \), we can start by simplifying the ratio \( 2: 4 \). This simplifies to \( 1: 2 \). If we want to find out what number, say \( x \), makes the ratio \( 2:x \) equivalent to \( 1:2 \), we can set up the equation \( \frac{2}{x} = \frac{1}{2} \). Cross-multiplying gives us \( 2 \cdot 2 = 1 \cdot x \), which simplifies to \( 4 = x \). Therefore, the number that makes the ratio equivalent to \( 2: 4 \) is \( 4 \). Want to have some fun with ratios? Remember, ratios can be seen as parts of a pie! When you simplify \( 2:4 \) to \( 1:2 \), you’re basically saying that for every 1 slice you take, you're taking 2 total slices. So if you had a pie, you’d get a big slice while your pal gets 2! Also, if you’re ever unsure about maintaining ratios in cooking (or baking a cake), keep in mind the golden rule: maintain the same proportions. Whether you're doubling a recipe or scaling it down, just keep the ratios intact for delicious results!

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