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Finding the Fourth Proportional to 2,352.40, 3,238.92 and 1,997.57

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Solution

The fourth proportional to 2,352.40, 3,238.92 and 1,997.57 is: 2,750.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,352.40 : 3,238.92 = 1,997.57 : x
  2. Step 2: Convert to fraction form
    2,352.40/3,238.92 = 1,997.57/x
  3. Step 3: Cross multiply
    2,352.40x = 3,238.92 × 1,997.57
  4. Step 4: Simplify right side
    2,352.40x = 6,469,977.52
  5. Step 5: Solve for x
    x = 6,469,977.52/2,352.40
  6. Step 6: Final answer
    x = 2,750.38

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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.