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Finding the Fourth Proportional to 3,267, 4,508.46 and 1,795

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Solution

The fourth proportional to 3,267, 4,508.46 and 1,795 is: 2,477.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,267 : 4,508.46 = 1,795 : x
  2. Step 2: Convert to fraction form
    3,267/4,508.46 = 1,795/x
  3. Step 3: Cross multiply
    3,267x = 4,508.46 × 1,795
  4. Step 4: Simplify right side
    3,267x = 8,092,685.70
  5. Step 5: Solve for x
    x = 8,092,685.70/3,267
  6. Step 6: Final answer
    x = 2,477.10

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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.