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Finding the Fourth Proportional to 3,400.92, 4,689.18 and 2,644.92

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Solution

The fourth proportional to 3,400.92, 4,689.18 and 2,644.92 is: 3,646.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,400.92 : 4,689.18 = 2,644.92 : x
  2. Step 2: Convert to fraction form
    3,400.92/4,689.18 = 2,644.92/x
  3. Step 3: Cross multiply
    3,400.92x = 4,689.18 × 2,644.92
  4. Step 4: Simplify right side
    3,400.92x = 12,402,505.97
  5. Step 5: Solve for x
    x = 12,402,505.97/3,400.92
  6. Step 6: Final answer
    x = 3,646.81

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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.