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Finding the Fourth Proportional to 3,293.69, 4,940.96 and 1,213.29

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Solution

The fourth proportional to 3,293.69, 4,940.96 and 1,213.29 is: 1,820.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,293.69 : 4,940.96 = 1,213.29 : x
  2. Step 2: Convert to fraction form
    3,293.69/4,940.96 = 1,213.29/x
  3. Step 3: Cross multiply
    3,293.69x = 4,940.96 × 1,213.29
  4. Step 4: Simplify right side
    3,293.69x = 5,994,811.29
  5. Step 5: Solve for x
    x = 5,994,811.29/3,293.69
  6. Step 6: Final answer
    x = 1,820.09

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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.