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Finding the Fourth Proportional to 2,112.96, 3,169.78 and 652.46

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Solution

The fourth proportional to 2,112.96, 3,169.78 and 652.46 is: 978.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,112.96 : 3,169.78 = 652.46 : x
  2. Step 2: Convert to fraction form
    2,112.96/3,169.78 = 652.46/x
  3. Step 3: Cross multiply
    2,112.96x = 3,169.78 × 652.46
  4. Step 4: Simplify right side
    2,112.96x = 2,068,140.85
  5. Step 5: Solve for x
    x = 2,068,140.85/2,112.96
  6. Step 6: Final answer
    x = 978.79

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