Finding the Fourth Proportional to 2,081, 3,121.68 and 542
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Solution
The fourth proportional to 2,081, 3,121.68 and 542 is: 813.05
Step by Step Solution
- Step 1: Write the proportion equation
2,081 : 3,121.68 = 542 : x - Step 2: Convert to fraction form
2,081/3,121.68 = 542/x - Step 3: Cross multiply
2,081x = 3,121.68 × 542 - Step 4: Simplify right side
2,081x = 1,691,950.56 - Step 5: Solve for x
x = 1,691,950.56/2,081 - Step 6: Final answer
x = 813.05
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.