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Finding the Fourth Proportional to 1,387.92, 2,077.83 and 1,202.25

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Solution

The fourth proportional to 1,387.92, 2,077.83 and 1,202.25 is: 1,799.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,387.92 : 2,077.83 = 1,202.25 : x
  2. Step 2: Convert to fraction form
    1,387.92/2,077.83 = 1,202.25/x
  3. Step 3: Cross multiply
    1,387.92x = 2,077.83 × 1,202.25
  4. Step 4: Simplify right side
    1,387.92x = 2,498,071.12
  5. Step 5: Solve for x
    x = 2,498,071.12/1,387.92
  6. Step 6: Final answer
    x = 1,799.87

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