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Finding the Fourth Proportional to 2,136.27, 3,204.29 and 965.99

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Solution

The fourth proportional to 2,136.27, 3,204.29 and 965.99 is: 1,448.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,136.27 : 3,204.29 = 965.99 : x
  2. Step 2: Convert to fraction form
    2,136.27/3,204.29 = 965.99/x
  3. Step 3: Cross multiply
    2,136.27x = 3,204.29 × 965.99
  4. Step 4: Simplify right side
    2,136.27x = 3,095,291.25
  5. Step 5: Solve for x
    x = 3,095,291.25/2,136.27
  6. Step 6: Final answer
    x = 1,448.92

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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.