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Finding the Fourth Proportional to 3,204.26, 4,806.34 and 1,955.22

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Solution

The fourth proportional to 3,204.26, 4,806.34 and 1,955.22 is: 2,932.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,204.26 : 4,806.34 = 1,955.22 : x
  2. Step 2: Convert to fraction form
    3,204.26/4,806.34 = 1,955.22/x
  3. Step 3: Cross multiply
    3,204.26x = 4,806.34 × 1,955.22
  4. Step 4: Simplify right side
    3,204.26x = 9,397,452.09
  5. Step 5: Solve for x
    x = 9,397,452.09/3,204.26
  6. Step 6: Final answer
    x = 2,932.80

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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.