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Finding the Fourth Proportional to 2,115.29, 3,174.02 and 1,542.89

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Solution

The fourth proportional to 2,115.29, 3,174.02 and 1,542.89 is: 2,315.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,115.29 : 3,174.02 = 1,542.89 : x
  2. Step 2: Convert to fraction form
    2,115.29/3,174.02 = 1,542.89/x
  3. Step 3: Cross multiply
    2,115.29x = 3,174.02 × 1,542.89
  4. Step 4: Simplify right side
    2,115.29x = 4,897,140.13
  5. Step 5: Solve for x
    x = 4,897,140.13/2,115.29
  6. Step 6: Final answer
    x = 2,315.12

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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.