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Finding the Fourth Proportional to 1,689.55, 2,517.68 and 1,641.97

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Solution

The fourth proportional to 1,689.55, 2,517.68 and 1,641.97 is: 2,446.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,689.55 : 2,517.68 = 1,641.97 : x
  2. Step 2: Convert to fraction form
    1,689.55/2,517.68 = 1,641.97/x
  3. Step 3: Cross multiply
    1,689.55x = 2,517.68 × 1,641.97
  4. Step 4: Simplify right side
    1,689.55x = 4,133,955.03
  5. Step 5: Solve for x
    x = 4,133,955.03/1,689.55
  6. Step 6: Final answer
    x = 2,446.78

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.