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Finding the Fourth Proportional to 2,249.87, 3,103.94 and 1,410.21

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Solution

The fourth proportional to 2,249.87, 3,103.94 and 1,410.21 is: 1,945.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,249.87 : 3,103.94 = 1,410.21 : x
  2. Step 2: Convert to fraction form
    2,249.87/3,103.94 = 1,410.21/x
  3. Step 3: Cross multiply
    2,249.87x = 3,103.94 × 1,410.21
  4. Step 4: Simplify right side
    2,249.87x = 4,377,200.18
  5. Step 5: Solve for x
    x = 4,377,200.18/2,249.87
  6. Step 6: Final answer
    x = 1,945.54

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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.