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Finding the Fourth Proportional to 3,220.44, 4,832.81 and 1,140.43

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Solution

The fourth proportional to 3,220.44, 4,832.81 and 1,140.43 is: 1,711.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,220.44 : 4,832.81 = 1,140.43 : x
  2. Step 2: Convert to fraction form
    3,220.44/4,832.81 = 1,140.43/x
  3. Step 3: Cross multiply
    3,220.44x = 4,832.81 × 1,140.43
  4. Step 4: Simplify right side
    3,220.44x = 5,511,481.51
  5. Step 5: Solve for x
    x = 5,511,481.51/3,220.44
  6. Step 6: Final answer
    x = 1,711.41

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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.