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Finding the Fourth Proportional to 3,109.97, 4,661.11 and 1,443.09

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Solution

The fourth proportional to 3,109.97, 4,661.11 and 1,443.09 is: 2,162.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,109.97 : 4,661.11 = 1,443.09 : x
  2. Step 2: Convert to fraction form
    3,109.97/4,661.11 = 1,443.09/x
  3. Step 3: Cross multiply
    3,109.97x = 4,661.11 × 1,443.09
  4. Step 4: Simplify right side
    3,109.97x = 6,726,401.23
  5. Step 5: Solve for x
    x = 6,726,401.23/3,109.97
  6. Step 6: Final answer
    x = 2,162.85

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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.