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Finding the Fourth Proportional to 2,734.52, 4,098.85 and 1,175.21

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Solution

The fourth proportional to 2,734.52, 4,098.85 and 1,175.21 is: 1,761.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,734.52 : 4,098.85 = 1,175.21 : x
  2. Step 2: Convert to fraction form
    2,734.52/4,098.85 = 1,175.21/x
  3. Step 3: Cross multiply
    2,734.52x = 4,098.85 × 1,175.21
  4. Step 4: Simplify right side
    2,734.52x = 4,816,983.14
  5. Step 5: Solve for x
    x = 4,816,983.14/2,734.52
  6. Step 6: Final answer
    x = 1,761.55

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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.