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Finding the Fourth Proportional to 2,136.32, 3,203.36 and 965.31

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Solution

The fourth proportional to 2,136.32, 3,203.36 and 965.31 is: 1,447.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,136.32 : 3,203.36 = 965.31 : x
  2. Step 2: Convert to fraction form
    2,136.32/3,203.36 = 965.31/x
  3. Step 3: Cross multiply
    2,136.32x = 3,203.36 × 965.31
  4. Step 4: Simplify right side
    2,136.32x = 3,092,230.62
  5. Step 5: Solve for x
    x = 3,092,230.62/2,136.32
  6. Step 6: Final answer
    x = 1,447.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.