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Finding the Fourth Proportional to 1,822.91, 2,734.11 and 726.53

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Solution

The fourth proportional to 1,822.91, 2,734.11 and 726.53 is: 1,089.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,822.91 : 2,734.11 = 726.53 : x
  2. Step 2: Convert to fraction form
    1,822.91/2,734.11 = 726.53/x
  3. Step 3: Cross multiply
    1,822.91x = 2,734.11 × 726.53
  4. Step 4: Simplify right side
    1,822.91x = 1,986,399.27
  5. Step 5: Solve for x
    x = 1,986,399.27/1,822.91
  6. Step 6: Final answer
    x = 1,089.69

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