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Finding the Fourth Proportional to 1,691.22, 2,537.84 and 767.28

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Solution

The fourth proportional to 1,691.22, 2,537.84 and 767.28 is: 1,151.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,691.22 : 2,537.84 = 767.28 : x
  2. Step 2: Convert to fraction form
    1,691.22/2,537.84 = 767.28/x
  3. Step 3: Cross multiply
    1,691.22x = 2,537.84 × 767.28
  4. Step 4: Simplify right side
    1,691.22x = 1,947,235.79
  5. Step 5: Solve for x
    x = 1,947,235.79/1,691.22
  6. Step 6: Final answer
    x = 1,151.38

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