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Finding the Fourth Proportional to 2,175.97, 3,259.55 and 1,737.97

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Solution

The fourth proportional to 2,175.97, 3,259.55 and 1,737.97 is: 2,603.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,175.97 : 3,259.55 = 1,737.97 : x
  2. Step 2: Convert to fraction form
    2,175.97/3,259.55 = 1,737.97/x
  3. Step 3: Cross multiply
    2,175.97x = 3,259.55 × 1,737.97
  4. Step 4: Simplify right side
    2,175.97x = 5,665,000.11
  5. Step 5: Solve for x
    x = 5,665,000.11/2,175.97
  6. Step 6: Final answer
    x = 2,603.44

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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.