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Finding the Fourth Proportional to 2,433.57, 3,357.15 and 1,593.90

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Solution

The fourth proportional to 2,433.57, 3,357.15 and 1,593.90 is: 2,198.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,433.57 : 3,357.15 = 1,593.90 : x
  2. Step 2: Convert to fraction form
    2,433.57/3,357.15 = 1,593.90/x
  3. Step 3: Cross multiply
    2,433.57x = 3,357.15 × 1,593.90
  4. Step 4: Simplify right side
    2,433.57x = 5,350,961.39
  5. Step 5: Solve for x
    x = 5,350,961.39/2,433.57
  6. Step 6: Final answer
    x = 2,198.81

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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.