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Finding the Fourth Proportional to 1,542.47, 2,318.57 and 1,339.57

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Solution

The fourth proportional to 1,542.47, 2,318.57 and 1,339.57 is: 2,013.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,542.47 : 2,318.57 = 1,339.57 : x
  2. Step 2: Convert to fraction form
    1,542.47/2,318.57 = 1,339.57/x
  3. Step 3: Cross multiply
    1,542.47x = 2,318.57 × 1,339.57
  4. Step 4: Simplify right side
    1,542.47x = 3,105,868.52
  5. Step 5: Solve for x
    x = 3,105,868.52/1,542.47
  6. Step 6: Final answer
    x = 2,013.57

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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.