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Finding the Fourth Proportional to 2,136.46, 3,188.49 and 2,081.10

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Solution

The fourth proportional to 2,136.46, 3,188.49 and 2,081.10 is: 3,105.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,136.46 : 3,188.49 = 2,081.10 : x
  2. Step 2: Convert to fraction form
    2,136.46/3,188.49 = 2,081.10/x
  3. Step 3: Cross multiply
    2,136.46x = 3,188.49 × 2,081.10
  4. Step 4: Simplify right side
    2,136.46x = 6,635,566.54
  5. Step 5: Solve for x
    x = 6,635,566.54/2,136.46
  6. Step 6: Final answer
    x = 3,105.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.