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Finding the Fourth Proportional to 1,920.92, 2,874.69 and 1,180.20

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Solution

The fourth proportional to 1,920.92, 2,874.69 and 1,180.20 is: 1,766.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,920.92 : 2,874.69 = 1,180.20 : x
  2. Step 2: Convert to fraction form
    1,920.92/2,874.69 = 1,180.20/x
  3. Step 3: Cross multiply
    1,920.92x = 2,874.69 × 1,180.20
  4. Step 4: Simplify right side
    1,920.92x = 3,392,695.66
  5. Step 5: Solve for x
    x = 3,392,695.66/1,920.92
  6. Step 6: Final answer
    x = 1,766.19

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