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Finding the Fourth Proportional to 1,984.91, 2,974.46 and 1,462.46

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Solution

The fourth proportional to 1,984.91, 2,974.46 and 1,462.46 is: 2,191.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,984.91 : 2,974.46 = 1,462.46 : x
  2. Step 2: Convert to fraction form
    1,984.91/2,974.46 = 1,462.46/x
  3. Step 3: Cross multiply
    1,984.91x = 2,974.46 × 1,462.46
  4. Step 4: Simplify right side
    1,984.91x = 4,350,006.59
  5. Step 5: Solve for x
    x = 4,350,006.59/1,984.91
  6. Step 6: Final answer
    x = 2,191.54

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