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Finding the Fourth Proportional to 2,474.06, 3,414.10 and 1,354.97

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Solution

The fourth proportional to 2,474.06, 3,414.10 and 1,354.97 is: 1,869.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,474.06 : 3,414.10 = 1,354.97 : x
  2. Step 2: Convert to fraction form
    2,474.06/3,414.10 = 1,354.97/x
  3. Step 3: Cross multiply
    2,474.06x = 3,414.10 × 1,354.97
  4. Step 4: Simplify right side
    2,474.06x = 4,626,003.08
  5. Step 5: Solve for x
    x = 4,626,003.08/2,474.06
  6. Step 6: Final answer
    x = 1,869.80

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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.