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Finding the Fourth Proportional to 1,694.14, 2,540.79 and 1,149.70

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Solution

The fourth proportional to 1,694.14, 2,540.79 and 1,149.70 is: 1,724.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,694.14 : 2,540.79 = 1,149.70 : x
  2. Step 2: Convert to fraction form
    1,694.14/2,540.79 = 1,149.70/x
  3. Step 3: Cross multiply
    1,694.14x = 2,540.79 × 1,149.70
  4. Step 4: Simplify right side
    1,694.14x = 2,921,146.26
  5. Step 5: Solve for x
    x = 2,921,146.26/1,694.14
  6. Step 6: Final answer
    x = 1,724.26

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