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

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To solve the proportion:

$$
\frac{2}{x} = \frac{4}{10}
$$

**Step 1: Understand the Proportion**

A proportion states that two ratios are equal. In this case:

$$
\frac{2}{x} = \frac{4}{10}
$$

**Step 2: Cross-Multiply**

To solve for $$ x $$, cross-multiply the terms of the proportion. Cross-multiplication involves multiplying the numerator of one ratio by the denominator of the other ratio and setting the two products equal to each other.

$$
2 \times 10 = 4 \times x
$$

$$
20 = 4x
$$

**Step 3: Solve for $$ x $$**

Now, isolate $$ x $$ by dividing both sides of the equation by 4:

$$
\frac{20}{4} = x
$$

$$
x = 5
$$

**Answer:** $$ x = 5 $$
$$ x = 5 $$

Proportions
Solve each proportion.

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