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Finding the Fourth Proportional to 2,134.38, 3,202.10 and 595.38

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Solution

The fourth proportional to 2,134.38, 3,202.10 and 595.38 is: 893.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,134.38 : 3,202.10 = 595.38 : x
  2. Step 2: Convert to fraction form
    2,134.38/3,202.10 = 595.38/x
  3. Step 3: Cross multiply
    2,134.38x = 3,202.10 × 595.38
  4. Step 4: Simplify right side
    2,134.38x = 1,906,466.30
  5. Step 5: Solve for x
    x = 1,906,466.30/2,134.38
  6. Step 6: Final answer
    x = 893.22

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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.