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Finding the Fourth Proportional to 3,010.42, 4,515.95 and 819.32

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Solution

The fourth proportional to 3,010.42, 4,515.95 and 819.32 is: 1,229.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,010.42 : 4,515.95 = 819.32 : x
  2. Step 2: Convert to fraction form
    3,010.42/4,515.95 = 819.32/x
  3. Step 3: Cross multiply
    3,010.42x = 4,515.95 × 819.32
  4. Step 4: Simplify right side
    3,010.42x = 3,699,987.62
  5. Step 5: Solve for x
    x = 3,699,987.62/3,010.42
  6. Step 6: Final answer
    x = 1,229.06

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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.