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Finding the Fourth Proportional to 1,982.28, 2,971.56 and 682.82

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Solution

The fourth proportional to 1,982.28, 2,971.56 and 682.82 is: 1,023.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,982.28 : 2,971.56 = 682.82 : x
  2. Step 2: Convert to fraction form
    1,982.28/2,971.56 = 682.82/x
  3. Step 3: Cross multiply
    1,982.28x = 2,971.56 × 682.82
  4. Step 4: Simplify right side
    1,982.28x = 2,029,040.60
  5. Step 5: Solve for x
    x = 2,029,040.60/1,982.28
  6. Step 6: Final answer
    x = 1,023.59

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