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Finding the Fourth Proportional to 2,149.43, 3,225.23 and 851.99

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Solution

The fourth proportional to 2,149.43, 3,225.23 and 851.99 is: 1,278.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,149.43 : 3,225.23 = 851.99 : x
  2. Step 2: Convert to fraction form
    2,149.43/3,225.23 = 851.99/x
  3. Step 3: Cross multiply
    2,149.43x = 3,225.23 × 851.99
  4. Step 4: Simplify right side
    2,149.43x = 2,747,863.71
  5. Step 5: Solve for x
    x = 2,747,863.71/2,149.43
  6. Step 6: Final answer
    x = 1,278.42

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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.