**Решение:**
$$7,6: x = 2\frac{1}{9} : 2\frac{4}{9}$$
$$7,6: x = \frac{19}{9} : \frac{22}{9}$$
$$\frac{7,6}{x} = \frac{19/9}{22/9}$$
$$\frac{7,6}{x} = \frac{19}{9} \cdot \frac{9}{22}$$
$$\frac{7,6}{x} = \frac{19}{22}$$
$$x = \frac{7,6 \cdot 22}{19}$$
$$x = \frac{167,2}{19}$$
$$x = 8,8$$
**Ответ: x = 8,8**