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Finding the Fourth Proportional to 3,211.70, 4,431.24 and 2,016.81

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Solution

The fourth proportional to 3,211.70, 4,431.24 and 2,016.81 is: 2,782.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,211.70 : 4,431.24 = 2,016.81 : x
  2. Step 2: Convert to fraction form
    3,211.70/4,431.24 = 2,016.81/x
  3. Step 3: Cross multiply
    3,211.70x = 4,431.24 × 2,016.81
  4. Step 4: Simplify right side
    3,211.70x = 8,936,969.14
  5. Step 5: Solve for x
    x = 8,936,969.14/3,211.70
  6. Step 6: Final answer
    x = 2,782.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.