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Finding the Fourth Proportional to 1,696.14, 2,546.91 and 1,149.66

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Solution

The fourth proportional to 1,696.14, 2,546.91 and 1,149.66 is: 1,726.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,696.14 : 2,546.91 = 1,149.66 : x
  2. Step 2: Convert to fraction form
    1,696.14/2,546.91 = 1,149.66/x
  3. Step 3: Cross multiply
    1,696.14x = 2,546.91 × 1,149.66
  4. Step 4: Simplify right side
    1,696.14x = 2,928,080.55
  5. Step 5: Solve for x
    x = 2,928,080.55/1,696.14
  6. Step 6: Final answer
    x = 1,726.32

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