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Finding the Fourth Proportional to 3,473.40, 4,791.78 and 2,147.70

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Solution

The fourth proportional to 3,473.40, 4,791.78 and 2,147.70 is: 2,962.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,473.40 : 4,791.78 = 2,147.70 : x
  2. Step 2: Convert to fraction form
    3,473.40/4,791.78 = 2,147.70/x
  3. Step 3: Cross multiply
    3,473.40x = 4,791.78 × 2,147.70
  4. Step 4: Simplify right side
    3,473.40x = 10,291,305.91
  5. Step 5: Solve for x
    x = 10,291,305.91/3,473.40
  6. Step 6: Final answer
    x = 2,962.89

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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.