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Finding the Fourth Proportional to 2,517.53, 3,474.12 and 1,398.47

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Solution

The fourth proportional to 2,517.53, 3,474.12 and 1,398.47 is: 1,929.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,517.53 : 3,474.12 = 1,398.47 : x
  2. Step 2: Convert to fraction form
    2,517.53/3,474.12 = 1,398.47/x
  3. Step 3: Cross multiply
    2,517.53x = 3,474.12 × 1,398.47
  4. Step 4: Simplify right side
    2,517.53x = 4,858,452.60
  5. Step 5: Solve for x
    x = 4,858,452.60/2,517.53
  6. Step 6: Final answer
    x = 1,929.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.