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Finding the Fourth Proportional to 2,568.78, 3,853.36 and 1,107.56

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Solution

The fourth proportional to 2,568.78, 3,853.36 and 1,107.56 is: 1,661.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,568.78 : 3,853.36 = 1,107.56 : x
  2. Step 2: Convert to fraction form
    2,568.78/3,853.36 = 1,107.56/x
  3. Step 3: Cross multiply
    2,568.78x = 3,853.36 × 1,107.56
  4. Step 4: Simplify right side
    2,568.78x = 4,267,827.40
  5. Step 5: Solve for x
    x = 4,267,827.40/2,568.78
  6. Step 6: Final answer
    x = 1,661.42

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