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Finding the Fourth Proportional to 2,201.69, 3,037.02 and 1,414.37

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Solution

The fourth proportional to 2,201.69, 3,037.02 and 1,414.37 is: 1,950.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,201.69 : 3,037.02 = 1,414.37 : x
  2. Step 2: Convert to fraction form
    2,201.69/3,037.02 = 1,414.37/x
  3. Step 3: Cross multiply
    2,201.69x = 3,037.02 × 1,414.37
  4. Step 4: Simplify right side
    2,201.69x = 4,295,469.98
  5. Step 5: Solve for x
    x = 4,295,469.98/2,201.69
  6. Step 6: Final answer
    x = 1,950.99

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1.5x scale

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.