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Finding the Fourth Proportional to 3,257.75, 4,887.50 and 1,177.13

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Solution

The fourth proportional to 3,257.75, 4,887.50 and 1,177.13 is: 1,766.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,257.75 : 4,887.50 = 1,177.13 : x
  2. Step 2: Convert to fraction form
    3,257.75/4,887.50 = 1,177.13/x
  3. Step 3: Cross multiply
    3,257.75x = 4,887.50 × 1,177.13
  4. Step 4: Simplify right side
    3,257.75x = 5,753,192.55
  5. Step 5: Solve for x
    x = 5,753,192.55/3,257.75
  6. Step 6: Final answer
    x = 1,766.00

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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.