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Finding the Fourth Proportional to 2,122.26, 3,183.39 and 951.62

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Solution

The fourth proportional to 2,122.26, 3,183.39 and 951.62 is: 1,427.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,122.26 : 3,183.39 = 951.62 : x
  2. Step 2: Convert to fraction form
    2,122.26/3,183.39 = 951.62/x
  3. Step 3: Cross multiply
    2,122.26x = 3,183.39 × 951.62
  4. Step 4: Simplify right side
    2,122.26x = 3,029,378.41
  5. Step 5: Solve for x
    x = 3,029,378.41/2,122.26
  6. Step 6: Final answer
    x = 1,427.43

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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.