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Finding the Fourth Proportional to 3,481.97, 5,222.71 and 1,633.51

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Solution

The fourth proportional to 3,481.97, 5,222.71 and 1,633.51 is: 2,450.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,481.97 : 5,222.71 = 1,633.51 : x
  2. Step 2: Convert to fraction form
    3,481.97/5,222.71 = 1,633.51/x
  3. Step 3: Cross multiply
    3,481.97x = 5,222.71 × 1,633.51
  4. Step 4: Simplify right side
    3,481.97x = 8,531,331.87
  5. Step 5: Solve for x
    x = 8,531,331.87/3,481.97
  6. Step 6: Final answer
    x = 2,450.14

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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.