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Finding the Fourth Proportional to 4,269, 6,404.25 and 1,636.39

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Solution

The fourth proportional to 4,269, 6,404.25 and 1,636.39 is: 2,454.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,269 : 6,404.25 = 1,636.39 : x
  2. Step 2: Convert to fraction form
    4,269/6,404.25 = 1,636.39/x
  3. Step 3: Cross multiply
    4,269x = 6,404.25 × 1,636.39
  4. Step 4: Simplify right side
    4,269x = 10,479,850.66
  5. Step 5: Solve for x
    x = 10,479,850.66/4,269
  6. Step 6: Final answer
    x = 2,454.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.