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Finding the Fourth Proportional to 3,269.49, 4,511.90 and 1,777.39

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Solution

The fourth proportional to 3,269.49, 4,511.90 and 1,777.39 is: 2,452.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,269.49 : 4,511.90 = 1,777.39 : x
  2. Step 2: Convert to fraction form
    3,269.49/4,511.90 = 1,777.39/x
  3. Step 3: Cross multiply
    3,269.49x = 4,511.90 × 1,777.39
  4. Step 4: Simplify right side
    3,269.49x = 8,019,424.48
  5. Step 5: Solve for x
    x = 8,019,424.48/3,269.49
  6. Step 6: Final answer
    x = 2,452.81

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Why These Related Problems?

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