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Finding the Fourth Proportional to 1,822.92, 2,734.42 and 727.80

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Solution

The fourth proportional to 1,822.92, 2,734.42 and 727.80 is: 1,091.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,822.92 : 2,734.42 = 727.80 : x
  2. Step 2: Convert to fraction form
    1,822.92/2,734.42 = 727.80/x
  3. Step 3: Cross multiply
    1,822.92x = 2,734.42 × 727.80
  4. Step 4: Simplify right side
    1,822.92x = 1,990,110.88
  5. Step 5: Solve for x
    x = 1,990,110.88/1,822.92
  6. Step 6: Final answer
    x = 1,091.72

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