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Finding the Fourth Proportional to 3,292.67, 4,940.94 and 1,214.12

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Solution

The fourth proportional to 3,292.67, 4,940.94 and 1,214.12 is: 1,821.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,292.67 : 4,940.94 = 1,214.12 : x
  2. Step 2: Convert to fraction form
    3,292.67/4,940.94 = 1,214.12/x
  3. Step 3: Cross multiply
    3,292.67x = 4,940.94 × 1,214.12
  4. Step 4: Simplify right side
    3,292.67x = 5,998,869.37
  5. Step 5: Solve for x
    x = 5,998,869.37/3,292.67
  6. Step 6: Final answer
    x = 1,821.89

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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.