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Finding the Fourth Proportional to 3,016, 4,161.73 and 1,757.33

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Solution

The fourth proportional to 3,016, 4,161.73 and 1,757.33 is: 2,424.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,016 : 4,161.73 = 1,757.33 : x
  2. Step 2: Convert to fraction form
    3,016/4,161.73 = 1,757.33/x
  3. Step 3: Cross multiply
    3,016x = 4,161.73 × 1,757.33
  4. Step 4: Simplify right side
    3,016x = 7,313,532.98
  5. Step 5: Solve for x
    x = 7,313,532.98/3,016
  6. Step 6: Final answer
    x = 2,424.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.