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Finding the Fourth Proportional to 1,982.00, 2,734.93 and 1,142.74

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Solution

The fourth proportional to 1,982.00, 2,734.93 and 1,142.74 is: 1,576.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,982.00 : 2,734.93 = 1,142.74 : x
  2. Step 2: Convert to fraction form
    1,982.00/2,734.93 = 1,142.74/x
  3. Step 3: Cross multiply
    1,982.00x = 2,734.93 × 1,142.74
  4. Step 4: Simplify right side
    1,982.00x = 3,125,318.76
  5. Step 5: Solve for x
    x = 3,125,318.76/1,982.00
  6. Step 6: Final answer
    x = 1,576.85

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