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Finding the Fourth Proportional to 2,591.52, 3,886.61 and 1,031.46

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Solution

The fourth proportional to 2,591.52, 3,886.61 and 1,031.46 is: 1,546.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,591.52 : 3,886.61 = 1,031.46 : x
  2. Step 2: Convert to fraction form
    2,591.52/3,886.61 = 1,031.46/x
  3. Step 3: Cross multiply
    2,591.52x = 3,886.61 × 1,031.46
  4. Step 4: Simplify right side
    2,591.52x = 4,008,877.59
  5. Step 5: Solve for x
    x = 4,008,877.59/2,591.52
  6. Step 6: Final answer
    x = 1,546.92

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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.