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Finding the Fourth Proportional to 1,591.40, 2,387.09 and 865.59

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Solution

The fourth proportional to 1,591.40, 2,387.09 and 865.59 is: 1,298.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,591.40 : 2,387.09 = 865.59 : x
  2. Step 2: Convert to fraction form
    1,591.40/2,387.09 = 865.59/x
  3. Step 3: Cross multiply
    1,591.40x = 2,387.09 × 865.59
  4. Step 4: Simplify right side
    1,591.40x = 2,066,229.58
  5. Step 5: Solve for x
    x = 2,066,229.58/1,591.40
  6. Step 6: Final answer
    x = 1,298.37

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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.