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Finding the Fourth Proportional to 1,974.92, 2,962.37 and 1,854.64

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Solution

The fourth proportional to 1,974.92, 2,962.37 and 1,854.64 is: 2,781.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,974.92 : 2,962.37 = 1,854.64 : x
  2. Step 2: Convert to fraction form
    1,974.92/2,962.37 = 1,854.64/x
  3. Step 3: Cross multiply
    1,974.92x = 2,962.37 × 1,854.64
  4. Step 4: Simplify right side
    1,974.92x = 5,494,129.90
  5. Step 5: Solve for x
    x = 5,494,129.90/1,974.92
  6. Step 6: Final answer
    x = 2,781.95

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