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Finding the Fourth Proportional to 2,261.71, 3,392.97 and 1,165.78

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Solution

The fourth proportional to 2,261.71, 3,392.97 and 1,165.78 is: 1,748.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,261.71 : 3,392.97 = 1,165.78 : x
  2. Step 2: Convert to fraction form
    2,261.71/3,392.97 = 1,165.78/x
  3. Step 3: Cross multiply
    2,261.71x = 3,392.97 × 1,165.78
  4. Step 4: Simplify right side
    2,261.71x = 3,955,456.57
  5. Step 5: Solve for x
    x = 3,955,456.57/2,261.71
  6. Step 6: Final answer
    x = 1,748.88

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