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Finding the Fourth Proportional to 1,397.82, 1,928.49 and 978.84

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Solution

The fourth proportional to 1,397.82, 1,928.49 and 978.84 is: 1,350.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,397.82 : 1,928.49 = 978.84 : x
  2. Step 2: Convert to fraction form
    1,397.82/1,928.49 = 978.84/x
  3. Step 3: Cross multiply
    1,397.82x = 1,928.49 × 978.84
  4. Step 4: Simplify right side
    1,397.82x = 1,887,683.15
  5. Step 5: Solve for x
    x = 1,887,683.15/1,397.82
  6. Step 6: Final answer
    x = 1,350.45

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