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Finding the Fourth Proportional to 2,993.37, 4,489.38 and 1,143.83

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Solution

The fourth proportional to 2,993.37, 4,489.38 and 1,143.83 is: 1,715.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,993.37 : 4,489.38 = 1,143.83 : x
  2. Step 2: Convert to fraction form
    2,993.37/4,489.38 = 1,143.83/x
  3. Step 3: Cross multiply
    2,993.37x = 4,489.38 × 1,143.83
  4. Step 4: Simplify right side
    2,993.37x = 5,135,087.53
  5. Step 5: Solve for x
    x = 5,135,087.53/2,993.37
  6. Step 6: Final answer
    x = 1,715.49

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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.