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Finding the Fourth Proportional to 3,176.98, 4,757.22 and 2,192.83

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Solution

The fourth proportional to 3,176.98, 4,757.22 and 2,192.83 is: 3,283.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,176.98 : 4,757.22 = 2,192.83 : x
  2. Step 2: Convert to fraction form
    3,176.98/4,757.22 = 2,192.83/x
  3. Step 3: Cross multiply
    3,176.98x = 4,757.22 × 2,192.83
  4. Step 4: Simplify right side
    3,176.98x = 10,431,774.73
  5. Step 5: Solve for x
    x = 10,431,774.73/3,176.98
  6. Step 6: Final answer
    x = 3,283.55

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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.