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Finding the Fourth Proportional to 3,293.38, 4,942.02 and 1,214.85

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Solution

The fourth proportional to 3,293.38, 4,942.02 and 1,214.85 is: 1,822.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,293.38 : 4,942.02 = 1,214.85 : x
  2. Step 2: Convert to fraction form
    3,293.38/4,942.02 = 1,214.85/x
  3. Step 3: Cross multiply
    3,293.38x = 4,942.02 × 1,214.85
  4. Step 4: Simplify right side
    3,293.38x = 6,003,788.29
  5. Step 5: Solve for x
    x = 6,003,788.29/3,293.38
  6. Step 6: Final answer
    x = 1,822.99

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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.