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Finding the Fourth Proportional to 3,037, 4,189.38 and 2,040.52

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Solution

The fourth proportional to 3,037, 4,189.38 and 2,040.52 is: 2,814.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,037 : 4,189.38 = 2,040.52 : x
  2. Step 2: Convert to fraction form
    3,037/4,189.38 = 2,040.52/x
  3. Step 3: Cross multiply
    3,037x = 4,189.38 × 2,040.52
  4. Step 4: Simplify right side
    3,037x = 8,548,513.68
  5. Step 5: Solve for x
    x = 8,548,513.68/3,037
  6. Step 6: Final answer
    x = 2,814.79

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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.