Arrange the following ratios in ascending order.
3 : 4, 3 : 5, 2 : 11, 7 : 2

To arrange the given ratios in ascending order, we first convert each ratio into its equivalent fraction or decimal value.

The given ratios are:
1. $3:4$
2. $3:5$
3. $2:\mathrm{11}$
4. $7:2$

Let's convert each ratio into a fraction and then calculate its decimal value to make comparison easier:

For $3:4$:
Fraction form = $\frac{3}{4}$
Decimal value = 0.75

For $3:5$:
Fraction form = $\frac{3}{5}$
Decimal value = 0.6

For $2:\mathrm{11}$:
Fraction form = $\frac{2}{11}$
Decimal value ≈ 0.1818

For $7:2$:
Fraction form = $\frac{7}{2}$
Decimal value = 3.5

Now, we compare the decimal values to arrange them in ascending order (from smallest to largest):
$0.1818<0.6<0.75<3.5$

Replacing the decimal values with their corresponding original ratios, we get:
$2:11<3:5<3:4<7:2$

Therefore, the correct ascending order of the ratios is:
2:11 < 3: 5 < 3 : 4 < 7 : 2