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Finding the Fourth Proportional to 2,623.25, 3,932.54 and 978.68

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Solution

The fourth proportional to 2,623.25, 3,932.54 and 978.68 is: 1,467.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,623.25 : 3,932.54 = 978.68 : x
  2. Step 2: Convert to fraction form
    2,623.25/3,932.54 = 978.68/x
  3. Step 3: Cross multiply
    2,623.25x = 3,932.54 × 978.68
  4. Step 4: Simplify right side
    2,623.25x = 3,848,698.25
  5. Step 5: Solve for x
    x = 3,848,698.25/2,623.25
  6. Step 6: Final answer
    x = 1,467.15

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