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Finding the Fourth Proportional to 2,167.75, 3,239.69 and 1,583.97

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Solution

The fourth proportional to 2,167.75, 3,239.69 and 1,583.97 is: 2,367.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,167.75 : 3,239.69 = 1,583.97 : x
  2. Step 2: Convert to fraction form
    2,167.75/3,239.69 = 1,583.97/x
  3. Step 3: Cross multiply
    2,167.75x = 3,239.69 × 1,583.97
  4. Step 4: Simplify right side
    2,167.75x = 5,131,571.77
  5. Step 5: Solve for x
    x = 5,131,571.77/2,167.75
  6. Step 6: Final answer
    x = 2,367.23

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.