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Finding the Fourth Proportional to 2,474.03, 3,414.12 and 1,354.92

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Solution

The fourth proportional to 2,474.03, 3,414.12 and 1,354.92 is: 1,869.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,474.03 : 3,414.12 = 1,354.92 : x
  2. Step 2: Convert to fraction form
    2,474.03/3,414.12 = 1,354.92/x
  3. Step 3: Cross multiply
    2,474.03x = 3,414.12 × 1,354.92
  4. Step 4: Simplify right side
    2,474.03x = 4,625,859.47
  5. Step 5: Solve for x
    x = 4,625,859.47/2,474.03
  6. Step 6: Final answer
    x = 1,869.77

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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.