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Finding the Fourth Proportional to 2,806.29, 3,872.23 and 1,686.96

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Solution

The fourth proportional to 2,806.29, 3,872.23 and 1,686.96 is: 2,327.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,806.29 : 3,872.23 = 1,686.96 : x
  2. Step 2: Convert to fraction form
    2,806.29/3,872.23 = 1,686.96/x
  3. Step 3: Cross multiply
    2,806.29x = 3,872.23 × 1,686.96
  4. Step 4: Simplify right side
    2,806.29x = 6,532,292.90
  5. Step 5: Solve for x
    x = 6,532,292.90/2,806.29
  6. Step 6: Final answer
    x = 2,327.73

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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.