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Finding the Fourth Proportional to 2,469.30, 3,705.03 and 1,008.78

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Solution

The fourth proportional to 2,469.30, 3,705.03 and 1,008.78 is: 1,513.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,469.30 : 3,705.03 = 1,008.78 : x
  2. Step 2: Convert to fraction form
    2,469.30/3,705.03 = 1,008.78/x
  3. Step 3: Cross multiply
    2,469.30x = 3,705.03 × 1,008.78
  4. Step 4: Simplify right side
    2,469.30x = 3,737,560.16
  5. Step 5: Solve for x
    x = 3,737,560.16/2,469.30
  6. Step 6: Final answer
    x = 1,513.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.