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Finding the Fourth Proportional to 3,233, 4,463.66 and 2,039.78

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Solution

The fourth proportional to 3,233, 4,463.66 and 2,039.78 is: 2,816.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,233 : 4,463.66 = 2,039.78 : x
  2. Step 2: Convert to fraction form
    3,233/4,463.66 = 2,039.78/x
  3. Step 3: Cross multiply
    3,233x = 4,463.66 × 2,039.78
  4. Step 4: Simplify right side
    3,233x = 9,104,884.39
  5. Step 5: Solve for x
    x = 9,104,884.39/3,233
  6. Step 6: Final answer
    x = 2,816.23

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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.