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Finding the Fourth Proportional to 3,229.34, 4,845.38 and 1,930.81

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Solution

The fourth proportional to 3,229.34, 4,845.38 and 1,930.81 is: 2,897.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,229.34 : 4,845.38 = 1,930.81 : x
  2. Step 2: Convert to fraction form
    3,229.34/4,845.38 = 1,930.81/x
  3. Step 3: Cross multiply
    3,229.34x = 4,845.38 × 1,930.81
  4. Step 4: Simplify right side
    3,229.34x = 9,355,508.16
  5. Step 5: Solve for x
    x = 9,355,508.16/3,229.34
  6. Step 6: Final answer
    x = 2,897.03

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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.