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Finding the Fourth Proportional to 2,584.64, 3,876.72 and 1,286.96

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Solution

The fourth proportional to 2,584.64, 3,876.72 and 1,286.96 is: 1,930.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,584.64 : 3,876.72 = 1,286.96 : x
  2. Step 2: Convert to fraction form
    2,584.64/3,876.72 = 1,286.96/x
  3. Step 3: Cross multiply
    2,584.64x = 3,876.72 × 1,286.96
  4. Step 4: Simplify right side
    2,584.64x = 4,989,183.57
  5. Step 5: Solve for x
    x = 4,989,183.57/2,584.64
  6. Step 6: Final answer
    x = 1,930.32

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