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Finding the Fourth Proportional to 2,806.25, 3,872.71 and 1,686.72

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Solution

The fourth proportional to 2,806.25, 3,872.71 and 1,686.72 is: 2,327.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,806.25 : 3,872.71 = 1,686.72 : x
  2. Step 2: Convert to fraction form
    2,806.25/3,872.71 = 1,686.72/x
  3. Step 3: Cross multiply
    2,806.25x = 3,872.71 × 1,686.72
  4. Step 4: Simplify right side
    2,806.25x = 6,532,194.04
  5. Step 5: Solve for x
    x = 6,532,194.04/2,806.25
  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.