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Finding the Fourth Proportional to 2,800.96, 4,198.20 and 1,978

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Solution

The fourth proportional to 2,800.96, 4,198.20 and 1,978 is: 2,964.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,800.96 : 4,198.20 = 1,978 : x
  2. Step 2: Convert to fraction form
    2,800.96/4,198.20 = 1,978/x
  3. Step 3: Cross multiply
    2,800.96x = 4,198.20 × 1,978
  4. Step 4: Simplify right side
    2,800.96x = 8,304,039.60
  5. Step 5: Solve for x
    x = 8,304,039.60/2,800.96
  6. Step 6: Final answer
    x = 2,964.71

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