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Finding the Fourth Proportional to 3,183.67, 4,770.32 and 1,948.49

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Solution

The fourth proportional to 3,183.67, 4,770.32 and 1,948.49 is: 2,919.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,183.67 : 4,770.32 = 1,948.49 : x
  2. Step 2: Convert to fraction form
    3,183.67/4,770.32 = 1,948.49/x
  3. Step 3: Cross multiply
    3,183.67x = 4,770.32 × 1,948.49
  4. Step 4: Simplify right side
    3,183.67x = 9,294,916.07
  5. Step 5: Solve for x
    x = 9,294,916.07/3,183.67
  6. Step 6: Final answer
    x = 2,919.56

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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.