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Finding the Fourth Proportional to 1,764.72, 2,435.28 and 978.80

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Solution

The fourth proportional to 1,764.72, 2,435.28 and 978.80 is: 1,350.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,764.72 : 2,435.28 = 978.80 : x
  2. Step 2: Convert to fraction form
    1,764.72/2,435.28 = 978.80/x
  3. Step 3: Cross multiply
    1,764.72x = 2,435.28 × 978.80
  4. Step 4: Simplify right side
    1,764.72x = 2,383,652.06
  5. Step 5: Solve for x
    x = 2,383,652.06/1,764.72
  6. Step 6: Final answer
    x = 1,350.73

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