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Finding the Fourth Proportional to 2,568.92, 3,857.16 and 2,101.80

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Solution

The fourth proportional to 2,568.92, 3,857.16 and 2,101.80 is: 3,155.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,568.92 : 3,857.16 = 2,101.80 : x
  2. Step 2: Convert to fraction form
    2,568.92/3,857.16 = 2,101.80/x
  3. Step 3: Cross multiply
    2,568.92x = 3,857.16 × 2,101.80
  4. Step 4: Simplify right side
    2,568.92x = 8,106,978.89
  5. Step 5: Solve for x
    x = 8,106,978.89/2,568.92
  6. Step 6: Final answer
    x = 3,155.79

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