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Finding the Fourth Proportional to 1,568.28, 2,164.24 and 978.78

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Solution

The fourth proportional to 1,568.28, 2,164.24 and 978.78 is: 1,350.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,568.28 : 2,164.24 = 978.78 : x
  2. Step 2: Convert to fraction form
    1,568.28/2,164.24 = 978.78/x
  3. Step 3: Cross multiply
    1,568.28x = 2,164.24 × 978.78
  4. Step 4: Simplify right side
    1,568.28x = 2,118,314.83
  5. Step 5: Solve for x
    x = 2,118,314.83/1,568.28
  6. Step 6: Final answer
    x = 1,350.72

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