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Finding the Fourth Proportional to 3,269.74, 4,511.78 and 1,942.96

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Solution

The fourth proportional to 3,269.74, 4,511.78 and 1,942.96 is: 2,681.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,269.74 : 4,511.78 = 1,942.96 : x
  2. Step 2: Convert to fraction form
    3,269.74/4,511.78 = 1,942.96/x
  3. Step 3: Cross multiply
    3,269.74x = 4,511.78 × 1,942.96
  4. Step 4: Simplify right side
    3,269.74x = 8,766,208.07
  5. Step 5: Solve for x
    x = 8,766,208.07/3,269.74
  6. Step 6: Final answer
    x = 2,681.01

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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.