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Finding the Fourth Proportional to 2,591.25, 3,887.49 and 859.88

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Solution

The fourth proportional to 2,591.25, 3,887.49 and 859.88 is: 1,290.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,591.25 : 3,887.49 = 859.88 : x
  2. Step 2: Convert to fraction form
    2,591.25/3,887.49 = 859.88/x
  3. Step 3: Cross multiply
    2,591.25x = 3,887.49 × 859.88
  4. Step 4: Simplify right side
    2,591.25x = 3,342,755.46
  5. Step 5: Solve for x
    x = 3,342,755.46/2,591.25
  6. Step 6: Final answer
    x = 1,290.02

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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.