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Finding the Fourth Proportional to 2,517.46, 3,474.18 and 1,398.41

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Solution

The fourth proportional to 2,517.46, 3,474.18 and 1,398.41 is: 1,929.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,517.46 : 3,474.18 = 1,398.41 : x
  2. Step 2: Convert to fraction form
    2,517.46/3,474.18 = 1,398.41/x
  3. Step 3: Cross multiply
    2,517.46x = 3,474.18 × 1,398.41
  4. Step 4: Simplify right side
    2,517.46x = 4,858,328.05
  5. Step 5: Solve for x
    x = 4,858,328.05/2,517.46
  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.