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Finding the Fourth Proportional to 2,782, 4,170.24 and 1,318.56

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Solution

The fourth proportional to 2,782, 4,170.24 and 1,318.56 is: 1,976.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,782 : 4,170.24 = 1,318.56 : x
  2. Step 2: Convert to fraction form
    2,782/4,170.24 = 1,318.56/x
  3. Step 3: Cross multiply
    2,782x = 4,170.24 × 1,318.56
  4. Step 4: Simplify right side
    2,782x = 5,498,711.65
  5. Step 5: Solve for x
    x = 5,498,711.65/2,782
  6. Step 6: Final answer
    x = 1,976.53

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