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Finding the Fourth Proportional to 3,196.80, 4,789.92 and 1,461.60

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Solution

The fourth proportional to 3,196.80, 4,789.92 and 1,461.60 is: 2,189.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,196.80 : 4,789.92 = 1,461.60 : x
  2. Step 2: Convert to fraction form
    3,196.80/4,789.92 = 1,461.60/x
  3. Step 3: Cross multiply
    3,196.80x = 4,789.92 × 1,461.60
  4. Step 4: Simplify right side
    3,196.80x = 7,000,947.07
  5. Step 5: Solve for x
    x = 7,000,947.07/3,196.80
  6. Step 6: Final answer
    x = 2,189.99

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