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Finding the Fourth Proportional to 2,884.74, 3,978.90 and 2,000.82

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Solution

The fourth proportional to 2,884.74, 3,978.90 and 2,000.82 is: 2,759.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,884.74 : 3,978.90 = 2,000.82 : x
  2. Step 2: Convert to fraction form
    2,884.74/3,978.90 = 2,000.82/x
  3. Step 3: Cross multiply
    2,884.74x = 3,978.90 × 2,000.82
  4. Step 4: Simplify right side
    2,884.74x = 7,961,062.70
  5. Step 5: Solve for x
    x = 7,961,062.70/2,884.74
  6. Step 6: Final answer
    x = 2,759.72

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