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Finding the Fourth Proportional to 3,198.70, 4,414.98 and 2,136.52

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Solution

The fourth proportional to 3,198.70, 4,414.98 and 2,136.52 is: 2,948.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,198.70 : 4,414.98 = 2,136.52 : x
  2. Step 2: Convert to fraction form
    3,198.70/4,414.98 = 2,136.52/x
  3. Step 3: Cross multiply
    3,198.70x = 4,414.98 × 2,136.52
  4. Step 4: Simplify right side
    3,198.70x = 9,432,693.07
  5. Step 5: Solve for x
    x = 9,432,693.07/3,198.70
  6. Step 6: Final answer
    x = 2,948.91

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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.