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Finding the Fourth Proportional to 2,135.38, 3,203.08 and 596.38

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Solution

The fourth proportional to 2,135.38, 3,203.08 and 596.38 is: 894.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,135.38 : 3,203.08 = 596.38 : x
  2. Step 2: Convert to fraction form
    2,135.38/3,203.08 = 596.38/x
  3. Step 3: Cross multiply
    2,135.38x = 3,203.08 × 596.38
  4. Step 4: Simplify right side
    2,135.38x = 1,910,252.85
  5. Step 5: Solve for x
    x = 1,910,252.85/2,135.38
  6. Step 6: Final answer
    x = 894.57

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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.