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Finding the Fourth Proportional to 3,269, 4,511.22 and 1,797

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Solution

The fourth proportional to 3,269, 4,511.22 and 1,797 is: 2,479.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,269 : 4,511.22 = 1,797 : x
  2. Step 2: Convert to fraction form
    3,269/4,511.22 = 1,797/x
  3. Step 3: Cross multiply
    3,269x = 4,511.22 × 1,797
  4. Step 4: Simplify right side
    3,269x = 8,106,662.34
  5. Step 5: Solve for x
    x = 8,106,662.34/3,269
  6. Step 6: Final answer
    x = 2,479.86

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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.