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Finding the Fourth Proportional to 3,086.92, 4,260.04 and 1,689.66

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Solution

The fourth proportional to 3,086.92, 4,260.04 and 1,689.66 is: 2,331.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,086.92 : 4,260.04 = 1,689.66 : x
  2. Step 2: Convert to fraction form
    3,086.92/4,260.04 = 1,689.66/x
  3. Step 3: Cross multiply
    3,086.92x = 4,260.04 × 1,689.66
  4. Step 4: Simplify right side
    3,086.92x = 7,198,019.19
  5. Step 5: Solve for x
    x = 7,198,019.19/3,086.92
  6. Step 6: Final answer
    x = 2,331.78

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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.