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Finding the Fourth Proportional to 3,399.97, 4,692.12 and 1,983.43

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Solution

The fourth proportional to 3,399.97, 4,692.12 and 1,983.43 is: 2,737.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,399.97 : 4,692.12 = 1,983.43 : x
  2. Step 2: Convert to fraction form
    3,399.97/4,692.12 = 1,983.43/x
  3. Step 3: Cross multiply
    3,399.97x = 4,692.12 × 1,983.43
  4. Step 4: Simplify right side
    3,399.97x = 9,306,481.65
  5. Step 5: Solve for x
    x = 9,306,481.65/3,399.97
  6. Step 6: Final answer
    x = 2,737.22

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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.