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Finding the Fourth Proportional to 2,149.57, 3,224.07 and 978.31

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Solution

The fourth proportional to 2,149.57, 3,224.07 and 978.31 is: 1,467.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,149.57 : 3,224.07 = 978.31 : x
  2. Step 2: Convert to fraction form
    2,149.57/3,224.07 = 978.31/x
  3. Step 3: Cross multiply
    2,149.57x = 3,224.07 × 978.31
  4. Step 4: Simplify right side
    2,149.57x = 3,154,143.95
  5. Step 5: Solve for x
    x = 3,154,143.95/2,149.57
  6. Step 6: Final answer
    x = 1,467.34

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