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Finding the Fourth Proportional to 1,568.22, 2,164.41 and 978.80

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Solution

The fourth proportional to 1,568.22, 2,164.41 and 978.80 is: 1,350.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,568.22 : 2,164.41 = 978.80 : x
  2. Step 2: Convert to fraction form
    1,568.22/2,164.41 = 978.80/x
  3. Step 3: Cross multiply
    1,568.22x = 2,164.41 × 978.80
  4. Step 4: Simplify right side
    1,568.22x = 2,118,524.51
  5. Step 5: Solve for x
    x = 2,118,524.51/1,568.22
  6. Step 6: Final answer
    x = 1,350.91

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