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Finding the Fourth Proportional to 3,010.44, 4,515.20 and 819.34

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Solution

The fourth proportional to 3,010.44, 4,515.20 and 819.34 is: 1,228.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,010.44 : 4,515.20 = 819.34 : x
  2. Step 2: Convert to fraction form
    3,010.44/4,515.20 = 819.34/x
  3. Step 3: Cross multiply
    3,010.44x = 4,515.20 × 819.34
  4. Step 4: Simplify right side
    3,010.44x = 3,699,471.66
  5. Step 5: Solve for x
    x = 3,699,471.66/3,010.44
  6. Step 6: Final answer
    x = 1,228.88

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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.