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Finding the Fourth Proportional to 2,183.37, 3,012.84 and 1,299.39

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Solution

The fourth proportional to 2,183.37, 3,012.84 and 1,299.39 is: 1,793.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,183.37 : 3,012.84 = 1,299.39 : x
  2. Step 2: Convert to fraction form
    2,183.37/3,012.84 = 1,299.39/x
  3. Step 3: Cross multiply
    2,183.37x = 3,012.84 × 1,299.39
  4. Step 4: Simplify right side
    2,183.37x = 3,914,854.17
  5. Step 5: Solve for x
    x = 3,914,854.17/2,183.37
  6. Step 6: Final answer
    x = 1,793.03

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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.