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Finding the Fourth Proportional to 2,627.62, 3,940.38 and 1,165.78

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Solution

The fourth proportional to 2,627.62, 3,940.38 and 1,165.78 is: 1,748.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,627.62 : 3,940.38 = 1,165.78 : x
  2. Step 2: Convert to fraction form
    2,627.62/3,940.38 = 1,165.78/x
  3. Step 3: Cross multiply
    2,627.62x = 3,940.38 × 1,165.78
  4. Step 4: Simplify right side
    2,627.62x = 4,593,616.20
  5. Step 5: Solve for x
    x = 4,593,616.20/2,627.62
  6. Step 6: Final answer
    x = 1,748.20

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