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Finding the Fourth Proportional to 2,269.27, 3,404.18 and 808.57

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Solution

The fourth proportional to 2,269.27, 3,404.18 and 808.57 is: 1,212.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,269.27 : 3,404.18 = 808.57 : x
  2. Step 2: Convert to fraction form
    2,269.27/3,404.18 = 808.57/x
  3. Step 3: Cross multiply
    2,269.27x = 3,404.18 × 808.57
  4. Step 4: Simplify right side
    2,269.27x = 2,752,517.82
  5. Step 5: Solve for x
    x = 2,752,517.82/2,269.27
  6. Step 6: Final answer
    x = 1,212.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.