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Finding the Fourth Proportional to 2,136.04, 3,202.84 and 674.92

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Solution

The fourth proportional to 2,136.04, 3,202.84 and 674.92 is: 1,011.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,136.04 : 3,202.84 = 674.92 : x
  2. Step 2: Convert to fraction form
    2,136.04/3,202.84 = 674.92/x
  3. Step 3: Cross multiply
    2,136.04x = 3,202.84 × 674.92
  4. Step 4: Simplify right side
    2,136.04x = 2,161,660.77
  5. Step 5: Solve for x
    x = 2,161,660.77/2,136.04
  6. Step 6: Final answer
    x = 1,011.99

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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.