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Finding the Fourth Proportional to 2,850.01, 3,932.97 and 1,591

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Solution

The fourth proportional to 2,850.01, 3,932.97 and 1,591 is: 2,195.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,850.01 : 3,932.97 = 1,591 : x
  2. Step 2: Convert to fraction form
    2,850.01/3,932.97 = 1,591/x
  3. Step 3: Cross multiply
    2,850.01x = 3,932.97 × 1,591
  4. Step 4: Simplify right side
    2,850.01x = 6,257,355.27
  5. Step 5: Solve for x
    x = 6,257,355.27/2,850.01
  6. Step 6: Final answer
    x = 2,195.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.