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Finding the Fourth Proportional to 3,204.25, 4,806.62 and 1,817.05

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Solution

The fourth proportional to 3,204.25, 4,806.62 and 1,817.05 is: 2,725.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,204.25 : 4,806.62 = 1,817.05 : x
  2. Step 2: Convert to fraction form
    3,204.25/4,806.62 = 1,817.05/x
  3. Step 3: Cross multiply
    3,204.25x = 4,806.62 × 1,817.05
  4. Step 4: Simplify right side
    3,204.25x = 8,733,859.79
  5. Step 5: Solve for x
    x = 8,733,859.79/3,204.25
  6. Step 6: Final answer
    x = 2,725.71

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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.