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Finding the Fourth Proportional to 3,212.03, 4,431.50 and 1,952.69

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Solution

The fourth proportional to 3,212.03, 4,431.50 and 1,952.69 is: 2,694.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,212.03 : 4,431.50 = 1,952.69 : x
  2. Step 2: Convert to fraction form
    3,212.03/4,431.50 = 1,952.69/x
  3. Step 3: Cross multiply
    3,212.03x = 4,431.50 × 1,952.69
  4. Step 4: Simplify right side
    3,212.03x = 8,653,335.97
  5. Step 5: Solve for x
    x = 8,653,335.97/3,212.03
  6. Step 6: Final answer
    x = 2,694.04

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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.