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Finding the Fourth Proportional to 2,267.27, 3,401.18 and 806.57

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Solution

The fourth proportional to 2,267.27, 3,401.18 and 806.57 is: 1,209.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,267.27 : 3,401.18 = 806.57 : x
  2. Step 2: Convert to fraction form
    2,267.27/3,401.18 = 806.57/x
  3. Step 3: Cross multiply
    2,267.27x = 3,401.18 × 806.57
  4. Step 4: Simplify right side
    2,267.27x = 2,743,268.71
  5. Step 5: Solve for x
    x = 2,743,268.71/2,267.27
  6. Step 6: Final answer
    x = 1,209.95

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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.