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Finding the Fourth Proportional to 3,197.36, 4,414.56 and 2,450

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Solution

The fourth proportional to 3,197.36, 4,414.56 and 2,450 is: 3,382.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,197.36 : 4,414.56 = 2,450 : x
  2. Step 2: Convert to fraction form
    3,197.36/4,414.56 = 2,450/x
  3. Step 3: Cross multiply
    3,197.36x = 4,414.56 × 2,450
  4. Step 4: Simplify right side
    3,197.36x = 10,815,672.00
  5. Step 5: Solve for x
    x = 10,815,672.00/3,197.36
  6. Step 6: Final answer
    x = 3,382.69

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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.