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Finding the Fourth Proportional to 2,787.48, 4,175.24 and 2,258.06

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Solution

The fourth proportional to 2,787.48, 4,175.24 and 2,258.06 is: 3,382.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,787.48 : 4,175.24 = 2,258.06 : x
  2. Step 2: Convert to fraction form
    2,787.48/4,175.24 = 2,258.06/x
  3. Step 3: Cross multiply
    2,787.48x = 4,175.24 × 2,258.06
  4. Step 4: Simplify right side
    2,787.48x = 9,427,910.27
  5. Step 5: Solve for x
    x = 9,427,910.27/2,787.48
  6. Step 6: Final answer
    x = 3,382.23

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