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Finding the Fourth Proportional to 2,136.56, 3,202.38 and 979.88

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Solution

The fourth proportional to 2,136.56, 3,202.38 and 979.88 is: 1,468.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,136.56 : 3,202.38 = 979.88 : x
  2. Step 2: Convert to fraction form
    2,136.56/3,202.38 = 979.88/x
  3. Step 3: Cross multiply
    2,136.56x = 3,202.38 × 979.88
  4. Step 4: Simplify right side
    2,136.56x = 3,137,932.10
  5. Step 5: Solve for x
    x = 3,137,932.10/2,136.56
  6. Step 6: Final answer
    x = 1,468.69

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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.