To solve the equation \(7.03 : (x + 1.4) = 1.9\), we first rewrite it in a more manageable form. The colon (:) can be interpreted as division, so we can express the equation as:
\[ \frac{7.03}{x + 1.4} = 1.9 \]
Next, we can eliminate the fraction by multiplying both sides by \((x + 1.4)\):
\[ 7.03 = 1.9(x + 1.4) \]
Now, distribute \(1.9\) on the right side:
\[ 7.03 = 1.9x + 1.9 \times 1.4 \]
Calculating \(1.9 \times 1.4\):
\[ 1.9 \times 1.4 = 2.66 \]
So the equation becomes:
\[ 7.03 = 1.9x + 2.66 \]
Next, we isolate \(1.9x\) by subtracting \(2.66\) from both sides:
\[ 7.03 - 2.66 = 1.9x \]
Calculating \(7.03 - 2.66\):
\[ 4.37 = 1.9x \]
Now, we can solve for \(x\) by dividing both sides by \(1.9\):
\[ x = \frac{4.37}{1.9} \]
Calculating the division:
\[ x \approx 2.303 \]
So the solution is:
\[ \boxed{2.303} \]