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Finding the Fourth Proportional to 3,233.69, 4,462.22 and 1,817.27

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Solution

The fourth proportional to 3,233.69, 4,462.22 and 1,817.27 is: 2,507.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,233.69 : 4,462.22 = 1,817.27 : x
  2. Step 2: Convert to fraction form
    3,233.69/4,462.22 = 1,817.27/x
  3. Step 3: Cross multiply
    3,233.69x = 4,462.22 × 1,817.27
  4. Step 4: Simplify right side
    3,233.69x = 8,109,072.38
  5. Step 5: Solve for x
    x = 8,109,072.38/3,233.69
  6. Step 6: Final answer
    x = 2,507.68

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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.