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Finding the Fourth Proportional to 3,269.81, 4,511.69 and 1,834.22

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Solution

The fourth proportional to 3,269.81, 4,511.69 and 1,834.22 is: 2,530.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,269.81 : 4,511.69 = 1,834.22 : x
  2. Step 2: Convert to fraction form
    3,269.81/4,511.69 = 1,834.22/x
  3. Step 3: Cross multiply
    3,269.81x = 4,511.69 × 1,834.22
  4. Step 4: Simplify right side
    3,269.81x = 8,275,432.03
  5. Step 5: Solve for x
    x = 8,275,432.03/3,269.81
  6. Step 6: Final answer
    x = 2,530.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.