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Finding the Fourth Proportional to 2,877.28, 3,966.42 and 2,035.24

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Solution

The fourth proportional to 2,877.28, 3,966.42 and 2,035.24 is: 2,805.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,877.28 : 3,966.42 = 2,035.24 : x
  2. Step 2: Convert to fraction form
    2,877.28/3,966.42 = 2,035.24/x
  3. Step 3: Cross multiply
    2,877.28x = 3,966.42 × 2,035.24
  4. Step 4: Simplify right side
    2,877.28x = 8,072,616.64
  5. Step 5: Solve for x
    x = 8,072,616.64/2,877.28
  6. Step 6: Final answer
    x = 2,805.64

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