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Finding the Fourth Proportional to 1,343.82, 2,016.32 and 727.97

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Solution

The fourth proportional to 1,343.82, 2,016.32 and 727.97 is: 1,092.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,343.82 : 2,016.32 = 727.97 : x
  2. Step 2: Convert to fraction form
    1,343.82/2,016.32 = 727.97/x
  3. Step 3: Cross multiply
    1,343.82x = 2,016.32 × 727.97
  4. Step 4: Simplify right side
    1,343.82x = 1,467,806.75
  5. Step 5: Solve for x
    x = 1,467,806.75/1,343.82
  6. Step 6: Final answer
    x = 1,092.26

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