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Finding the Fourth Proportional to 1,906.94, 2,861.12 and 811.22

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Solution

The fourth proportional to 1,906.94, 2,861.12 and 811.22 is: 1,217.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,906.94 : 2,861.12 = 811.22 : x
  2. Step 2: Convert to fraction form
    1,906.94/2,861.12 = 811.22/x
  3. Step 3: Cross multiply
    1,906.94x = 2,861.12 × 811.22
  4. Step 4: Simplify right side
    1,906.94x = 2,320,985.49
  5. Step 5: Solve for x
    x = 2,320,985.49/1,906.94
  6. Step 6: Final answer
    x = 1,217.12

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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.