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Finding the Fourth Proportional to 2,040.20, 3,061.08 and 742.56

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Solution

The fourth proportional to 2,040.20, 3,061.08 and 742.56 is: 1,114.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,040.20 : 3,061.08 = 742.56 : x
  2. Step 2: Convert to fraction form
    2,040.20/3,061.08 = 742.56/x
  3. Step 3: Cross multiply
    2,040.20x = 3,061.08 × 742.56
  4. Step 4: Simplify right side
    2,040.20x = 2,273,035.56
  5. Step 5: Solve for x
    x = 2,273,035.56/2,040.20
  6. Step 6: Final answer
    x = 1,114.12

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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.