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Finding the Fourth Proportional to 2,747.04, 3,791.52 and 2,280.48

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Solution

The fourth proportional to 2,747.04, 3,791.52 and 2,280.48 is: 3,147.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,747.04 : 3,791.52 = 2,280.48 : x
  2. Step 2: Convert to fraction form
    2,747.04/3,791.52 = 2,280.48/x
  3. Step 3: Cross multiply
    2,747.04x = 3,791.52 × 2,280.48
  4. Step 4: Simplify right side
    2,747.04x = 8,646,485.53
  5. Step 5: Solve for x
    x = 8,646,485.53/2,747.04
  6. Step 6: Final answer
    x = 3,147.56

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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.