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Finding the Fourth Proportional to 1,984.56, 2,975.76 and 830.04

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Solution

The fourth proportional to 1,984.56, 2,975.76 and 830.04 is: 1,244.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,984.56 : 2,975.76 = 830.04 : x
  2. Step 2: Convert to fraction form
    1,984.56/2,975.76 = 830.04/x
  3. Step 3: Cross multiply
    1,984.56x = 2,975.76 × 830.04
  4. Step 4: Simplify right side
    1,984.56x = 2,469,999.83
  5. Step 5: Solve for x
    x = 2,469,999.83/1,984.56
  6. Step 6: Final answer
    x = 1,244.61

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