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Finding the Fourth Proportional to 3,010.97, 4,517.44 and 1,778.69

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Solution

The fourth proportional to 3,010.97, 4,517.44 and 1,778.69 is: 2,668.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,010.97 : 4,517.44 = 1,778.69 : x
  2. Step 2: Convert to fraction form
    3,010.97/4,517.44 = 1,778.69/x
  3. Step 3: Cross multiply
    3,010.97x = 4,517.44 × 1,778.69
  4. Step 4: Simplify right side
    3,010.97x = 8,035,132.20
  5. Step 5: Solve for x
    x = 8,035,132.20/3,010.97
  6. Step 6: Final answer
    x = 2,668.62

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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.