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Finding the Fourth Proportional to 2,591.68, 3,887.78 and 836.23

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Solution

The fourth proportional to 2,591.68, 3,887.78 and 836.23 is: 1,254.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,591.68 : 3,887.78 = 836.23 : x
  2. Step 2: Convert to fraction form
    2,591.68/3,887.78 = 836.23/x
  3. Step 3: Cross multiply
    2,591.68x = 3,887.78 × 836.23
  4. Step 4: Simplify right side
    2,591.68x = 3,251,078.27
  5. Step 5: Solve for x
    x = 3,251,078.27/2,591.68
  6. Step 6: Final answer
    x = 1,254.43

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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.