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Finding the Fourth Proportional to 3,011.23, 4,516.75 and 819.89

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Solution

The fourth proportional to 3,011.23, 4,516.75 and 819.89 is: 1,229.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,011.23 : 4,516.75 = 819.89 : x
  2. Step 2: Convert to fraction form
    3,011.23/4,516.75 = 819.89/x
  3. Step 3: Cross multiply
    3,011.23x = 4,516.75 × 819.89
  4. Step 4: Simplify right side
    3,011.23x = 3,703,211.47
  5. Step 5: Solve for x
    x = 3,703,211.47/3,011.23
  6. Step 6: Final answer
    x = 1,229.80

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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.