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Finding the Fourth Proportional to 1,982.89, 2,736.39 and 1,196.92

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Solution

The fourth proportional to 1,982.89, 2,736.39 and 1,196.92 is: 1,651.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,982.89 : 2,736.39 = 1,196.92 : x
  2. Step 2: Convert to fraction form
    1,982.89/2,736.39 = 1,196.92/x
  3. Step 3: Cross multiply
    1,982.89x = 2,736.39 × 1,196.92
  4. Step 4: Simplify right side
    1,982.89x = 3,275,239.92
  5. Step 5: Solve for x
    x = 3,275,239.92/1,982.89
  6. Step 6: Final answer
    x = 1,651.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.