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Finding the Fourth Proportional to 2,189.68, 3,285.12 and 1,092.72

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Solution

The fourth proportional to 2,189.68, 3,285.12 and 1,092.72 is: 1,639.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,189.68 : 3,285.12 = 1,092.72 : x
  2. Step 2: Convert to fraction form
    2,189.68/3,285.12 = 1,092.72/x
  3. Step 3: Cross multiply
    2,189.68x = 3,285.12 × 1,092.72
  4. Step 4: Simplify right side
    2,189.68x = 3,589,716.33
  5. Step 5: Solve for x
    x = 3,589,716.33/2,189.68
  6. Step 6: Final answer
    x = 1,639.38

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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.