Let the original price of a poster be denoted as \( p \). During the sale, the price is reduced by $1.35, thus the sale price per poster becomes:
\[ p - 1.35 \]
Malika buys 2 posters during the sale for a total of $7.08. Therefore, we can write the equation for the total cost based on the sale price:
\[ 2(p - 1.35) = 7.08 \]
To solve for \( p \), we first divide both sides of the equation by 2:
\[ p - 1.35 = \frac{7.08}{2} \]
Calculating the right side:
\[ \frac{7.08}{2} = 3.54 \]
Thus, we have:
\[ p - 1.35 = 3.54 \]
Now, we can solve for \( p \) by adding $1.35 to both sides:
\[ p = 3.54 + 1.35 \]
Calculating the right side gives:
\[ p = 4.89 \]
Therefore, the original price of 1 poster before the sale was
\[ \boxed{4.89} \]