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Finding the Fourth Proportional to 3,293.51, 4,942.17 and 1,213.65

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Solution

The fourth proportional to 3,293.51, 4,942.17 and 1,213.65 is: 1,821.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,293.51 : 4,942.17 = 1,213.65 : x
  2. Step 2: Convert to fraction form
    3,293.51/4,942.17 = 1,213.65/x
  3. Step 3: Cross multiply
    3,293.51x = 4,942.17 × 1,213.65
  4. Step 4: Simplify right side
    3,293.51x = 5,998,064.62
  5. Step 5: Solve for x
    x = 5,998,064.62/3,293.51
  6. Step 6: Final answer
    x = 1,821.18

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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.