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Finding the Fourth Proportional to 1,908.81, 2,861.38 and 811.66

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Solution

The fourth proportional to 1,908.81, 2,861.38 and 811.66 is: 1,216.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,908.81 : 2,861.38 = 811.66 : x
  2. Step 2: Convert to fraction form
    1,908.81/2,861.38 = 811.66/x
  3. Step 3: Cross multiply
    1,908.81x = 2,861.38 × 811.66
  4. Step 4: Simplify right side
    1,908.81x = 2,322,467.69
  5. Step 5: Solve for x
    x = 2,322,467.69/1,908.81
  6. Step 6: Final answer
    x = 1,216.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.