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Finding the Fourth Proportional to 3,272.22, 4,908.20 and 806.92

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Solution

The fourth proportional to 3,272.22, 4,908.20 and 806.92 is: 1,210.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,272.22 : 4,908.20 = 806.92 : x
  2. Step 2: Convert to fraction form
    3,272.22/4,908.20 = 806.92/x
  3. Step 3: Cross multiply
    3,272.22x = 4,908.20 × 806.92
  4. Step 4: Simplify right side
    3,272.22x = 3,960,524.74
  5. Step 5: Solve for x
    x = 3,960,524.74/3,272.22
  6. Step 6: Final answer
    x = 1,210.35

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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.