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Finding the Fourth Proportional to 3,012.07, 4,517.97 and 820.81

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Solution

The fourth proportional to 3,012.07, 4,517.97 and 820.81 is: 1,231.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,012.07 : 4,517.97 = 820.81 : x
  2. Step 2: Convert to fraction form
    3,012.07/4,517.97 = 820.81/x
  3. Step 3: Cross multiply
    3,012.07x = 4,517.97 × 820.81
  4. Step 4: Simplify right side
    3,012.07x = 3,708,394.96
  5. Step 5: Solve for x
    x = 3,708,394.96/3,012.07
  6. Step 6: Final answer
    x = 1,231.18

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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.