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Finding the Fourth Proportional to 2,338.91, 3,227.34 and 1,454.39

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Solution

The fourth proportional to 2,338.91, 3,227.34 and 1,454.39 is: 2,006.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,338.91 : 3,227.34 = 1,454.39 : x
  2. Step 2: Convert to fraction form
    2,338.91/3,227.34 = 1,454.39/x
  3. Step 3: Cross multiply
    2,338.91x = 3,227.34 × 1,454.39
  4. Step 4: Simplify right side
    2,338.91x = 4,693,811.02
  5. Step 5: Solve for x
    x = 4,693,811.02/2,338.91
  6. Step 6: Final answer
    x = 2,006.84

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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.