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Finding the Fourth Proportional to 2,136.50, 3,202.24 and 965.14

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Solution

The fourth proportional to 2,136.50, 3,202.24 and 965.14 is: 1,446.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,136.50 : 3,202.24 = 965.14 : x
  2. Step 2: Convert to fraction form
    2,136.50/3,202.24 = 965.14/x
  3. Step 3: Cross multiply
    2,136.50x = 3,202.24 × 965.14
  4. Step 4: Simplify right side
    2,136.50x = 3,090,609.91
  5. Step 5: Solve for x
    x = 3,090,609.91/2,136.50
  6. Step 6: Final answer
    x = 1,446.58

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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.