We can convert the ratio notation into a proportion.
$$ \frac{0.25}{x}=\frac{3.25}{26} $$
Cross multiply and solve for \(x\):
$$ 0.25\cdot 26 = 3.25 \cdot x $$
We can solve this without using a calculator if we convert the decimals to fractions
$$ \frac{1}{4}\cdot 26 = 3 \frac{1}{4} \cdot x $$
$$ \frac{1}{4}\cdot 26 = \frac{13}{4} \cdot x $$
Multiplying both sides by 4 allows us to get rid of the fractions on both sides.
$$ 26 = 13\cdot x $$
$$ x=\boxed{2} $$
We can test the answer choices. By inspection, \(x\) must be significantly larger than \(0.25\) since \(26\) is larger than \(3.25\). Testing \( \boxed{2}\) verifies the solution.
$$ \frac{0.25}{x}=\frac{3.25}{26} $$
$$ \frac{0.25}{2}=\frac{3.25}{26} $$
$$ \frac{1}{4}\cdot \frac{1}{2} =3\frac{1}{4}\cdot \frac{1}{26} $$
$$ \frac{1}{8}=\frac{13}{4}\cdot \frac{1}{26} $$
$$ \frac{1}{8}=\frac{1}{8} \checkmark$$
If the ratio of \(0.25:x\) is equivalent to \( 3.25:26\), what is the value of \(x\)?