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Finding the Fourth Proportional to 3,161.70, 4,737.96 and 1,211.76

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Solution

The fourth proportional to 3,161.70, 4,737.96 and 1,211.76 is: 1,815.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,161.70 : 4,737.96 = 1,211.76 : x
  2. Step 2: Convert to fraction form
    3,161.70/4,737.96 = 1,211.76/x
  3. Step 3: Cross multiply
    3,161.70x = 4,737.96 × 1,211.76
  4. Step 4: Simplify right side
    3,161.70x = 5,741,270.41
  5. Step 5: Solve for x
    x = 5,741,270.41/3,161.70
  6. Step 6: Final answer
    x = 1,815.88

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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.