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Finding the Fourth Proportional to 2,789.92, 4,185.84 and 842.56

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Solution

The fourth proportional to 2,789.92, 4,185.84 and 842.56 is: 1,264.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,789.92 : 4,185.84 = 842.56 : x
  2. Step 2: Convert to fraction form
    2,789.92/4,185.84 = 842.56/x
  3. Step 3: Cross multiply
    2,789.92x = 4,185.84 × 842.56
  4. Step 4: Simplify right side
    2,789.92x = 3,526,821.35
  5. Step 5: Solve for x
    x = 3,526,821.35/2,789.92
  6. Step 6: Final answer
    x = 1,264.13

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