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Finding the Fourth Proportional to 2,747.98, 3,793.80 and 1,962.82

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Solution

The fourth proportional to 2,747.98, 3,793.80 and 1,962.82 is: 2,709.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,747.98 : 3,793.80 = 1,962.82 : x
  2. Step 2: Convert to fraction form
    2,747.98/3,793.80 = 1,962.82/x
  3. Step 3: Cross multiply
    2,747.98x = 3,793.80 × 1,962.82
  4. Step 4: Simplify right side
    2,747.98x = 7,446,546.52
  5. Step 5: Solve for x
    x = 7,446,546.52/2,747.98
  6. Step 6: Final answer
    x = 2,709.83

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