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Finding the Fourth Proportional to 3,010.61, 4,516.25 and 819.36

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Solution

The fourth proportional to 3,010.61, 4,516.25 and 819.36 is: 1,229.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,010.61 : 4,516.25 = 819.36 : x
  2. Step 2: Convert to fraction form
    3,010.61/4,516.25 = 819.36/x
  3. Step 3: Cross multiply
    3,010.61x = 4,516.25 × 819.36
  4. Step 4: Simplify right side
    3,010.61x = 3,700,434.60
  5. Step 5: Solve for x
    x = 3,700,434.60/3,010.61
  6. Step 6: Final answer
    x = 1,229.13

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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.