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Finding the Fourth Proportional to 4,942.27, 7,414.17 and 1,609.48

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Solution

The fourth proportional to 4,942.27, 7,414.17 and 1,609.48 is: 2,414.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,942.27 : 7,414.17 = 1,609.48 : x
  2. Step 2: Convert to fraction form
    4,942.27/7,414.17 = 1,609.48/x
  3. Step 3: Cross multiply
    4,942.27x = 7,414.17 × 1,609.48
  4. Step 4: Simplify right side
    4,942.27x = 11,932,958.33
  5. Step 5: Solve for x
    x = 11,932,958.33/4,942.27
  6. Step 6: Final answer
    x = 2,414.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.