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Finding the Fourth Proportional to 2,654.43, 3,661.86 and 1,591.70

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Solution

The fourth proportional to 2,654.43, 3,661.86 and 1,591.70 is: 2,195.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,654.43 : 3,661.86 = 1,591.70 : x
  2. Step 2: Convert to fraction form
    2,654.43/3,661.86 = 1,591.70/x
  3. Step 3: Cross multiply
    2,654.43x = 3,661.86 × 1,591.70
  4. Step 4: Simplify right side
    2,654.43x = 5,828,564.25
  5. Step 5: Solve for x
    x = 5,828,564.25/2,654.43
  6. Step 6: Final answer
    x = 2,195.79

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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.