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Finding the Fourth Proportional to 2,474.00, 3,414.06 and 1,354.99

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Solution

The fourth proportional to 2,474.00, 3,414.06 and 1,354.99 is: 1,869.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,474.00 : 3,414.06 = 1,354.99 : x
  2. Step 2: Convert to fraction form
    2,474.00/3,414.06 = 1,354.99/x
  3. Step 3: Cross multiply
    2,474.00x = 3,414.06 × 1,354.99
  4. Step 4: Simplify right side
    2,474.00x = 4,626,008.62
  5. Step 5: Solve for x
    x = 4,626,008.62/2,474.00
  6. Step 6: Final answer
    x = 1,869.85

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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.