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Finding the Fourth Proportional to 2,136.08, 3,204.12 and 674.96

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Solution

The fourth proportional to 2,136.08, 3,204.12 and 674.96 is: 1,012.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,136.08 : 3,204.12 = 674.96 : x
  2. Step 2: Convert to fraction form
    2,136.08/3,204.12 = 674.96/x
  3. Step 3: Cross multiply
    2,136.08x = 3,204.12 × 674.96
  4. Step 4: Simplify right side
    2,136.08x = 2,162,652.84
  5. Step 5: Solve for x
    x = 2,162,652.84/2,136.08
  6. Step 6: Final answer
    x = 1,012.44

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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.