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Finding the Fourth Proportional to 1,821.16, 2,729.94 and 724.84

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Solution

The fourth proportional to 1,821.16, 2,729.94 and 724.84 is: 1,086.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,821.16 : 2,729.94 = 724.84 : x
  2. Step 2: Convert to fraction form
    1,821.16/2,729.94 = 724.84/x
  3. Step 3: Cross multiply
    1,821.16x = 2,729.94 × 724.84
  4. Step 4: Simplify right side
    1,821.16x = 1,978,769.71
  5. Step 5: Solve for x
    x = 1,978,769.71/1,821.16
  6. Step 6: Final answer
    x = 1,086.54

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