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Finding the Fourth Proportional to 2,677.46, 3,694.68 and 1,600.71

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Solution

The fourth proportional to 2,677.46, 3,694.68 and 1,600.71 is: 2,208.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,677.46 : 3,694.68 = 1,600.71 : x
  2. Step 2: Convert to fraction form
    2,677.46/3,694.68 = 1,600.71/x
  3. Step 3: Cross multiply
    2,677.46x = 3,694.68 × 1,600.71
  4. Step 4: Simplify right side
    2,677.46x = 5,914,103.22
  5. Step 5: Solve for x
    x = 5,914,103.22/2,677.46
  6. Step 6: Final answer
    x = 2,208.85

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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.