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Finding the Fourth Proportional to 2,149.56, 3,223.72 and 978.91

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Solution

The fourth proportional to 2,149.56, 3,223.72 and 978.91 is: 1,468.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,149.56 : 3,223.72 = 978.91 : x
  2. Step 2: Convert to fraction form
    2,149.56/3,223.72 = 978.91/x
  3. Step 3: Cross multiply
    2,149.56x = 3,223.72 × 978.91
  4. Step 4: Simplify right side
    2,149.56x = 3,155,731.75
  5. Step 5: Solve for x
    x = 3,155,731.75/2,149.56
  6. Step 6: Final answer
    x = 1,468.08

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