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Finding the Fourth Proportional to 2,591.54, 3,887.87 and 836.64

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Solution

The fourth proportional to 2,591.54, 3,887.87 and 836.64 is: 1,255.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,591.54 : 3,887.87 = 836.64 : x
  2. Step 2: Convert to fraction form
    2,591.54/3,887.87 = 836.64/x
  3. Step 3: Cross multiply
    2,591.54x = 3,887.87 × 836.64
  4. Step 4: Simplify right side
    2,591.54x = 3,252,732.44
  5. Step 5: Solve for x
    x = 3,252,732.44/2,591.54
  6. Step 6: Final answer
    x = 1,255.14

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Why These Related Problems?

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