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Finding the Fourth Proportional to 3,229.67, 4,456.41 and 1,902.89

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Solution

The fourth proportional to 3,229.67, 4,456.41 and 1,902.89 is: 2,625.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,229.67 : 4,456.41 = 1,902.89 : x
  2. Step 2: Convert to fraction form
    3,229.67/4,456.41 = 1,902.89/x
  3. Step 3: Cross multiply
    3,229.67x = 4,456.41 × 1,902.89
  4. Step 4: Simplify right side
    3,229.67x = 8,480,058.02
  5. Step 5: Solve for x
    x = 8,480,058.02/3,229.67
  6. Step 6: Final answer
    x = 2,625.67

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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.