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Finding the Fourth Proportional to 3,177.64, 4,766.46 and 1,327.60

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Solution

The fourth proportional to 3,177.64, 4,766.46 and 1,327.60 is: 1,991.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,177.64 : 4,766.46 = 1,327.60 : x
  2. Step 2: Convert to fraction form
    3,177.64/4,766.46 = 1,327.60/x
  3. Step 3: Cross multiply
    3,177.64x = 4,766.46 × 1,327.60
  4. Step 4: Simplify right side
    3,177.64x = 6,327,952.30
  5. Step 5: Solve for x
    x = 6,327,952.30/3,177.64
  6. Step 6: Final answer
    x = 1,991.40

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