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Finding the Fourth Proportional to 2,982.78, 4,474.17 and 791.53

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Solution

The fourth proportional to 2,982.78, 4,474.17 and 791.53 is: 1,187.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,982.78 : 4,474.17 = 791.53 : x
  2. Step 2: Convert to fraction form
    2,982.78/4,474.17 = 791.53/x
  3. Step 3: Cross multiply
    2,982.78x = 4,474.17 × 791.53
  4. Step 4: Simplify right side
    2,982.78x = 3,541,428.59
  5. Step 5: Solve for x
    x = 3,541,428.59/2,982.78
  6. Step 6: Final answer
    x = 1,187.29

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