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Finding the Fourth Proportional to 2,546.92, 3,822.30 and 2,040.04

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Solution

The fourth proportional to 2,546.92, 3,822.30 and 2,040.04 is: 3,061.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,546.92 : 3,822.30 = 2,040.04 : x
  2. Step 2: Convert to fraction form
    2,546.92/3,822.30 = 2,040.04/x
  3. Step 3: Cross multiply
    2,546.92x = 3,822.30 × 2,040.04
  4. Step 4: Simplify right side
    2,546.92x = 7,797,644.89
  5. Step 5: Solve for x
    x = 7,797,644.89/2,546.92
  6. Step 6: Final answer
    x = 3,061.60

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