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Finding the Fourth Proportional to 2,338.92, 3,227.34 and 1,394.67

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Solution

The fourth proportional to 2,338.92, 3,227.34 and 1,394.67 is: 1,924.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,338.92 : 3,227.34 = 1,394.67 : x
  2. Step 2: Convert to fraction form
    2,338.92/3,227.34 = 1,394.67/x
  3. Step 3: Cross multiply
    2,338.92x = 3,227.34 × 1,394.67
  4. Step 4: Simplify right side
    2,338.92x = 4,501,074.28
  5. Step 5: Solve for x
    x = 4,501,074.28/2,338.92
  6. Step 6: Final answer
    x = 1,924.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.