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Finding the Fourth Proportional to 2,338.29, 3,228.01 and 1,454.38

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Solution

The fourth proportional to 2,338.29, 3,228.01 and 1,454.38 is: 2,007.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,338.29 : 3,228.01 = 1,454.38 : x
  2. Step 2: Convert to fraction form
    2,338.29/3,228.01 = 1,454.38/x
  3. Step 3: Cross multiply
    2,338.29x = 3,228.01 × 1,454.38
  4. Step 4: Simplify right side
    2,338.29x = 4,694,743.30
  5. Step 5: Solve for x
    x = 4,694,743.30/2,338.29
  6. Step 6: Final answer
    x = 2,007.77

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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.