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Finding the Fourth Proportional to 2,523.76, 3,787.36 and 1,546.88

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Solution

The fourth proportional to 2,523.76, 3,787.36 and 1,546.88 is: 2,321.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,523.76 : 3,787.36 = 1,546.88 : x
  2. Step 2: Convert to fraction form
    2,523.76/3,787.36 = 1,546.88/x
  3. Step 3: Cross multiply
    2,523.76x = 3,787.36 × 1,546.88
  4. Step 4: Simplify right side
    2,523.76x = 5,858,591.44
  5. Step 5: Solve for x
    x = 5,858,591.44/2,523.76
  6. Step 6: Final answer
    x = 2,321.37

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