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Finding the Fourth Proportional to 3,233.61, 4,460.67 and 1,906.83

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Solution

The fourth proportional to 3,233.61, 4,460.67 and 1,906.83 is: 2,630.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,233.61 : 4,460.67 = 1,906.83 : x
  2. Step 2: Convert to fraction form
    3,233.61/4,460.67 = 1,906.83/x
  3. Step 3: Cross multiply
    3,233.61x = 4,460.67 × 1,906.83
  4. Step 4: Simplify right side
    3,233.61x = 8,505,739.38
  5. Step 5: Solve for x
    x = 8,505,739.38/3,233.61
  6. Step 6: Final answer
    x = 2,630.42

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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.