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Finding the Fourth Proportional to 2,149.78, 3,224.82 and 689.05

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Solution

The fourth proportional to 2,149.78, 3,224.82 and 689.05 is: 1,033.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,149.78 : 3,224.82 = 689.05 : x
  2. Step 2: Convert to fraction form
    2,149.78/3,224.82 = 689.05/x
  3. Step 3: Cross multiply
    2,149.78x = 3,224.82 × 689.05
  4. Step 4: Simplify right side
    2,149.78x = 2,222,062.22
  5. Step 5: Solve for x
    x = 2,222,062.22/2,149.78
  6. Step 6: Final answer
    x = 1,033.62

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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.