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Finding the Fourth Proportional to 2,584.85, 3,877.47 and 2,280.29

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Solution

The fourth proportional to 2,584.85, 3,877.47 and 2,280.29 is: 3,420.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,584.85 : 3,877.47 = 2,280.29 : x
  2. Step 2: Convert to fraction form
    2,584.85/3,877.47 = 2,280.29/x
  3. Step 3: Cross multiply
    2,584.85x = 3,877.47 × 2,280.29
  4. Step 4: Simplify right side
    2,584.85x = 8,841,736.68
  5. Step 5: Solve for x
    x = 8,841,736.68/2,584.85
  6. Step 6: Final answer
    x = 3,420.61

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