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Finding the Fourth Proportional to 1,983.84, 2,976.12 and 685.44

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Solution

The fourth proportional to 1,983.84, 2,976.12 and 685.44 is: 1,028.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,983.84 : 2,976.12 = 685.44 : x
  2. Step 2: Convert to fraction form
    1,983.84/2,976.12 = 685.44/x
  3. Step 3: Cross multiply
    1,983.84x = 2,976.12 × 685.44
  4. Step 4: Simplify right side
    1,983.84x = 2,039,951.69
  5. Step 5: Solve for x
    x = 2,039,951.69/1,983.84
  6. Step 6: Final answer
    x = 1,028.28

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