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Finding the Fourth Proportional to 2,766.57, 3,817.49 and 2,292.72

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Solution

The fourth proportional to 2,766.57, 3,817.49 and 2,292.72 is: 3,163.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,766.57 : 3,817.49 = 2,292.72 : x
  2. Step 2: Convert to fraction form
    2,766.57/3,817.49 = 2,292.72/x
  3. Step 3: Cross multiply
    2,766.57x = 3,817.49 × 2,292.72
  4. Step 4: Simplify right side
    2,766.57x = 8,752,424.21
  5. Step 5: Solve for x
    x = 8,752,424.21/2,766.57
  6. Step 6: Final answer
    x = 3,163.64

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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.