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Finding the Fourth Proportional to 2,067.49, 3,099.33 and 750.94

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Solution

The fourth proportional to 2,067.49, 3,099.33 and 750.94 is: 1,125.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,067.49 : 3,099.33 = 750.94 : x
  2. Step 2: Convert to fraction form
    2,067.49/3,099.33 = 750.94/x
  3. Step 3: Cross multiply
    2,067.49x = 3,099.33 × 750.94
  4. Step 4: Simplify right side
    2,067.49x = 2,327,403.12
  5. Step 5: Solve for x
    x = 2,327,403.12/2,067.49
  6. Step 6: Final answer
    x = 1,125.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.