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Finding the Fourth Proportional to 2,092.62, 3,136.74 and 995.67

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Solution

The fourth proportional to 2,092.62, 3,136.74 and 995.67 is: 1,492.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,092.62 : 3,136.74 = 995.67 : x
  2. Step 2: Convert to fraction form
    2,092.62/3,136.74 = 995.67/x
  3. Step 3: Cross multiply
    2,092.62x = 3,136.74 × 995.67
  4. Step 4: Simplify right side
    2,092.62x = 3,123,157.92
  5. Step 5: Solve for x
    x = 3,123,157.92/2,092.62
  6. Step 6: Final answer
    x = 1,492.46

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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.