Proportions Solve each proportion. 1) \( \frac{2}{x}=\frac{4}{10} \)

To solve the proportion \( \frac{2}{x}=\frac{4}{10} \), you can cross-multiply. This means you multiply the numerator of one fraction by the denominator of the other fraction: \( 2 \times 10 = 20 \). Then, set it equal to the product of the other numerator and denominator: \( 4 \times x = 4x \). So you have the equation \( 20 = 4x \). Now, divide both sides by 4 to isolate \( x \): \( x = \frac{20}{4} = 5 \). Now, we have that \( x = 5 \). It’s always good to check your answer! If you substitute \( x \) back into the original proportion, you’re confirming that both sides are indeed equal: \( \frac{2}{5} \) should equal \( \frac{4}{10} \), and since both simplify to \( 0.4 \), you’ve solved it correctly!