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Finding the Fourth Proportional to 3,297.38, 4,550.20 and 1,805

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Solution

The fourth proportional to 3,297.38, 4,550.20 and 1,805 is: 2,490.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,297.38 : 4,550.20 = 1,805 : x
  2. Step 2: Convert to fraction form
    3,297.38/4,550.20 = 1,805/x
  3. Step 3: Cross multiply
    3,297.38x = 4,550.20 × 1,805
  4. Step 4: Simplify right side
    3,297.38x = 8,213,111
  5. Step 5: Solve for x
    x = 8,213,111/3,297.38
  6. Step 6: Final answer
    x = 2,490.80

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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.