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Finding the Fourth Proportional to 2,167.56, 3,251.34 and 1,013.04

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Solution

The fourth proportional to 2,167.56, 3,251.34 and 1,013.04 is: 1,519.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,167.56 : 3,251.34 = 1,013.04 : x
  2. Step 2: Convert to fraction form
    2,167.56/3,251.34 = 1,013.04/x
  3. Step 3: Cross multiply
    2,167.56x = 3,251.34 × 1,013.04
  4. Step 4: Simplify right side
    2,167.56x = 3,293,737.47
  5. Step 5: Solve for x
    x = 3,293,737.47/2,167.56
  6. Step 6: Final answer
    x = 1,519.56

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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.