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Finding the Fourth Proportional to 2,213.38, 3,318.81 and 913.33

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Solution

The fourth proportional to 2,213.38, 3,318.81 and 913.33 is: 1,369.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,213.38 : 3,318.81 = 913.33 : x
  2. Step 2: Convert to fraction form
    2,213.38/3,318.81 = 913.33/x
  3. Step 3: Cross multiply
    2,213.38x = 3,318.81 × 913.33
  4. Step 4: Simplify right side
    2,213.38x = 3,031,168.74
  5. Step 5: Solve for x
    x = 3,031,168.74/2,213.38
  6. Step 6: Final answer
    x = 1,369.48

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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.