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Finding the Fourth Proportional to 2,584.78, 3,876.66 and 1,267.97

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Solution

The fourth proportional to 2,584.78, 3,876.66 and 1,267.97 is: 1,901.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,584.78 : 3,876.66 = 1,267.97 : x
  2. Step 2: Convert to fraction form
    2,584.78/3,876.66 = 1,267.97/x
  3. Step 3: Cross multiply
    2,584.78x = 3,876.66 × 1,267.97
  4. Step 4: Simplify right side
    2,584.78x = 4,915,488.58
  5. Step 5: Solve for x
    x = 4,915,488.58/2,584.78
  6. Step 6: Final answer
    x = 1,901.70

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