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Finding the Fourth Proportional to 2,267.44, 3,401.16 and 806.61

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Solution

The fourth proportional to 2,267.44, 3,401.16 and 806.61 is: 1,209.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,267.44 : 3,401.16 = 806.61 : x
  2. Step 2: Convert to fraction form
    2,267.44/3,401.16 = 806.61/x
  3. Step 3: Cross multiply
    2,267.44x = 3,401.16 × 806.61
  4. Step 4: Simplify right side
    2,267.44x = 2,743,407.07
  5. Step 5: Solve for x
    x = 2,743,407.07/2,267.44
  6. Step 6: Final answer
    x = 1,209.91

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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.