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Finding the Fourth Proportional to 3,105.43, 4,660.49 and 1,644.91

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Solution

The fourth proportional to 3,105.43, 4,660.49 and 1,644.91 is: 2,468.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,105.43 : 4,660.49 = 1,644.91 : x
  2. Step 2: Convert to fraction form
    3,105.43/4,660.49 = 1,644.91/x
  3. Step 3: Cross multiply
    3,105.43x = 4,660.49 × 1,644.91
  4. Step 4: Simplify right side
    3,105.43x = 7,666,086.61
  5. Step 5: Solve for x
    x = 7,666,086.61/3,105.43
  6. Step 6: Final answer
    x = 2,468.61

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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.