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Finding the Fourth Proportional to 2,474.36, 3,414.50 and 1,426.44

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Solution

The fourth proportional to 2,474.36, 3,414.50 and 1,426.44 is: 1,968.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,474.36 : 3,414.50 = 1,426.44 : x
  2. Step 2: Convert to fraction form
    2,474.36/3,414.50 = 1,426.44/x
  3. Step 3: Cross multiply
    2,474.36x = 3,414.50 × 1,426.44
  4. Step 4: Simplify right side
    2,474.36x = 4,870,579.38
  5. Step 5: Solve for x
    x = 4,870,579.38/2,474.36
  6. Step 6: Final answer
    x = 1,968.42

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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.