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Finding the Fourth Proportional to 2,150.16, 3,223.86 and 978.96

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Solution

The fourth proportional to 2,150.16, 3,223.86 and 978.96 is: 1,467.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,150.16 : 3,223.86 = 978.96 : x
  2. Step 2: Convert to fraction form
    2,150.16/3,223.86 = 978.96/x
  3. Step 3: Cross multiply
    2,150.16x = 3,223.86 × 978.96
  4. Step 4: Simplify right side
    2,150.16x = 3,156,029.99
  5. Step 5: Solve for x
    x = 3,156,029.99/2,150.16
  6. Step 6: Final answer
    x = 1,467.81

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