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Finding the Fourth Proportional to 2,806.67, 3,872.84 and 1,744.61

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Solution

The fourth proportional to 2,806.67, 3,872.84 and 1,744.61 is: 2,407.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,806.67 : 3,872.84 = 1,744.61 : x
  2. Step 2: Convert to fraction form
    2,806.67/3,872.84 = 1,744.61/x
  3. Step 3: Cross multiply
    2,806.67x = 3,872.84 × 1,744.61
  4. Step 4: Simplify right side
    2,806.67x = 6,756,583.25
  5. Step 5: Solve for x
    x = 6,756,583.25/2,806.67
  6. Step 6: Final answer
    x = 2,407.33

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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.