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Finding the Fourth Proportional to 1,906.86, 2,861.73 and 811.99

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Solution

The fourth proportional to 1,906.86, 2,861.73 and 811.99 is: 1,218.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,906.86 : 2,861.73 = 811.99 : x
  2. Step 2: Convert to fraction form
    1,906.86/2,861.73 = 811.99/x
  3. Step 3: Cross multiply
    1,906.86x = 2,861.73 × 811.99
  4. Step 4: Simplify right side
    1,906.86x = 2,323,696.14
  5. Step 5: Solve for x
    x = 2,323,696.14/1,906.86
  6. Step 6: Final answer
    x = 1,218.60

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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.