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Finding the Fourth Proportional to 2,122.89, 3,184.37 and 736.27

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Solution

The fourth proportional to 2,122.89, 3,184.37 and 736.27 is: 1,104.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,122.89 : 3,184.37 = 736.27 : x
  2. Step 2: Convert to fraction form
    2,122.89/3,184.37 = 736.27/x
  3. Step 3: Cross multiply
    2,122.89x = 3,184.37 × 736.27
  4. Step 4: Simplify right side
    2,122.89x = 2,344,556.10
  5. Step 5: Solve for x
    x = 2,344,556.10/2,122.89
  6. Step 6: Final answer
    x = 1,104.42

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