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Finding the Fourth Proportional to 3,010.75, 4,515.69 and 819.52

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Solution

The fourth proportional to 3,010.75, 4,515.69 and 819.52 is: 1,229.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,010.75 : 4,515.69 = 819.52 : x
  2. Step 2: Convert to fraction form
    3,010.75/4,515.69 = 819.52/x
  3. Step 3: Cross multiply
    3,010.75x = 4,515.69 × 819.52
  4. Step 4: Simplify right side
    3,010.75x = 3,700,698.27
  5. Step 5: Solve for x
    x = 3,700,698.27/3,010.75
  6. Step 6: Final answer
    x = 1,229.16

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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.