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