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Finding the Fourth Proportional to 3,011.06, 4,516.12 and 819.96

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Solution

The fourth proportional to 3,011.06, 4,516.12 and 819.96 is: 1,229.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,011.06 : 4,516.12 = 819.96 : x
  2. Step 2: Convert to fraction form
    3,011.06/4,516.12 = 819.96/x
  3. Step 3: Cross multiply
    3,011.06x = 4,516.12 × 819.96
  4. Step 4: Simplify right side
    3,011.06x = 3,703,017.22
  5. Step 5: Solve for x
    x = 3,703,017.22/3,011.06
  6. Step 6: Final answer
    x = 1,229.81

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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.