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Finding the Fourth Proportional to 1,984.38, 2,978.33 and 1,107.56

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Solution

The fourth proportional to 1,984.38, 2,978.33 and 1,107.56 is: 1,662.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,984.38 : 2,978.33 = 1,107.56 : x
  2. Step 2: Convert to fraction form
    1,984.38/2,978.33 = 1,107.56/x
  3. Step 3: Cross multiply
    1,984.38x = 2,978.33 × 1,107.56
  4. Step 4: Simplify right side
    1,984.38x = 3,298,658.75
  5. Step 5: Solve for x
    x = 3,298,658.75/1,984.38
  6. Step 6: Final answer
    x = 1,662.31

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