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Finding the Fourth Proportional to 2,622.36, 3,933.46 and 978.24

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Solution

The fourth proportional to 2,622.36, 3,933.46 and 978.24 is: 1,467.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,622.36 : 3,933.46 = 978.24 : x
  2. Step 2: Convert to fraction form
    2,622.36/3,933.46 = 978.24/x
  3. Step 3: Cross multiply
    2,622.36x = 3,933.46 × 978.24
  4. Step 4: Simplify right side
    2,622.36x = 3,847,867.91
  5. Step 5: Solve for x
    x = 3,847,867.91/2,622.36
  6. Step 6: Final answer
    x = 1,467.33

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