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Finding the Fourth Proportional to 3,104.80, 4,657.23 and 1,231.15

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Solution

The fourth proportional to 3,104.80, 4,657.23 and 1,231.15 is: 1,846.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,104.80 : 4,657.23 = 1,231.15 : x
  2. Step 2: Convert to fraction form
    3,104.80/4,657.23 = 1,231.15/x
  3. Step 3: Cross multiply
    3,104.80x = 4,657.23 × 1,231.15
  4. Step 4: Simplify right side
    3,104.80x = 5,733,725.43
  5. Step 5: Solve for x
    x = 5,733,725.43/3,104.80
  6. Step 6: Final answer
    x = 1,846.73

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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.