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Finding the Fourth Proportional to 2,591.71, 3,884.79 and 1,029.55

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Solution

The fourth proportional to 2,591.71, 3,884.79 and 1,029.55 is: 1,543.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,591.71 : 3,884.79 = 1,029.55 : x
  2. Step 2: Convert to fraction form
    2,591.71/3,884.79 = 1,029.55/x
  3. Step 3: Cross multiply
    2,591.71x = 3,884.79 × 1,029.55
  4. Step 4: Simplify right side
    2,591.71x = 3,999,585.54
  5. Step 5: Solve for x
    x = 3,999,585.54/2,591.71
  6. Step 6: Final answer
    x = 1,543.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.