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Finding the Fourth Proportional to 3,092.71, 4,269.41 and 1,766.15

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Solution

The fourth proportional to 3,092.71, 4,269.41 and 1,766.15 is: 2,438.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,092.71 : 4,269.41 = 1,766.15 : x
  2. Step 2: Convert to fraction form
    3,092.71/4,269.41 = 1,766.15/x
  3. Step 3: Cross multiply
    3,092.71x = 4,269.41 × 1,766.15
  4. Step 4: Simplify right side
    3,092.71x = 7,540,433.56
  5. Step 5: Solve for x
    x = 7,540,433.56/3,092.71
  6. Step 6: Final answer
    x = 2,438.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.