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Finding the Fourth Proportional to 2,267.41, 3,401.12 and 806.56

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Solution

The fourth proportional to 2,267.41, 3,401.12 and 806.56 is: 1,209.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,267.41 : 3,401.12 = 806.56 : x
  2. Step 2: Convert to fraction form
    2,267.41/3,401.12 = 806.56/x
  3. Step 3: Cross multiply
    2,267.41x = 3,401.12 × 806.56
  4. Step 4: Simplify right side
    2,267.41x = 2,743,207.35
  5. Step 5: Solve for x
    x = 2,743,207.35/2,267.41
  6. Step 6: Final answer
    x = 1,209.84

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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.