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Finding the Fourth Proportional to 2,766.24, 3,813.35 and 1,978.92

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Solution

The fourth proportional to 2,766.24, 3,813.35 and 1,978.92 is: 2,728.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,766.24 : 3,813.35 = 1,978.92 : x
  2. Step 2: Convert to fraction form
    2,766.24/3,813.35 = 1,978.92/x
  3. Step 3: Cross multiply
    2,766.24x = 3,813.35 × 1,978.92
  4. Step 4: Simplify right side
    2,766.24x = 7,546,304.69
  5. Step 5: Solve for x
    x = 7,546,304.69/2,766.24
  6. Step 6: Final answer
    x = 2,728.00

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