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Finding the Fourth Proportional to 2,661.33, 3,990.69 and 811.95

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Solution

The fourth proportional to 2,661.33, 3,990.69 and 811.95 is: 1,217.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,661.33 : 3,990.69 = 811.95 : x
  2. Step 2: Convert to fraction form
    2,661.33/3,990.69 = 811.95/x
  3. Step 3: Cross multiply
    2,661.33x = 3,990.69 × 811.95
  4. Step 4: Simplify right side
    2,661.33x = 3,240,240.75
  5. Step 5: Solve for x
    x = 3,240,240.75/2,661.33
  6. Step 6: Final answer
    x = 1,217.53

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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.