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Finding the Fourth Proportional to 2,144.52, 3,204.21 and 2,098.44

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Solution

The fourth proportional to 2,144.52, 3,204.21 and 2,098.44 is: 3,135.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,144.52 : 3,204.21 = 2,098.44 : x
  2. Step 2: Convert to fraction form
    2,144.52/3,204.21 = 2,098.44/x
  3. Step 3: Cross multiply
    2,144.52x = 3,204.21 × 2,098.44
  4. Step 4: Simplify right side
    2,144.52x = 6,723,842.43
  5. Step 5: Solve for x
    x = 6,723,842.43/2,144.52
  6. Step 6: Final answer
    x = 3,135.36

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.