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Finding the Fourth Proportional to 2,612.81, 3,920.49 and 1,226.09

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Solution

The fourth proportional to 2,612.81, 3,920.49 and 1,226.09 is: 1,839.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,612.81 : 3,920.49 = 1,226.09 : x
  2. Step 2: Convert to fraction form
    2,612.81/3,920.49 = 1,226.09/x
  3. Step 3: Cross multiply
    2,612.81x = 3,920.49 × 1,226.09
  4. Step 4: Simplify right side
    2,612.81x = 4,806,853.98
  5. Step 5: Solve for x
    x = 4,806,853.98/2,612.81
  6. Step 6: Final answer
    x = 1,839.73

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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.