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Finding the Fourth Proportional to 2,122.67, 3,179.89 and 1,195.39

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Solution

The fourth proportional to 2,122.67, 3,179.89 and 1,195.39 is: 1,790.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,122.67 : 3,179.89 = 1,195.39 : x
  2. Step 2: Convert to fraction form
    2,122.67/3,179.89 = 1,195.39/x
  3. Step 3: Cross multiply
    2,122.67x = 3,179.89 × 1,195.39
  4. Step 4: Simplify right side
    2,122.67x = 3,801,214.18
  5. Step 5: Solve for x
    x = 3,801,214.18/2,122.67
  6. Step 6: Final answer
    x = 1,790.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.