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Finding the Fourth Proportional to 1,542.79, 2,314.65 and 721.54

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Solution

The fourth proportional to 1,542.79, 2,314.65 and 721.54 is: 1,082.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,542.79 : 2,314.65 = 721.54 : x
  2. Step 2: Convert to fraction form
    1,542.79/2,314.65 = 721.54/x
  3. Step 3: Cross multiply
    1,542.79x = 2,314.65 × 721.54
  4. Step 4: Simplify right side
    1,542.79x = 1,670,112.56
  5. Step 5: Solve for x
    x = 1,670,112.56/1,542.79
  6. Step 6: Final answer
    x = 1,082.53

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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.