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Finding the Fourth Proportional to 2,166.09, 3,248.78 and 996.05

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Solution

The fourth proportional to 2,166.09, 3,248.78 and 996.05 is: 1,493.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,166.09 : 3,248.78 = 996.05 : x
  2. Step 2: Convert to fraction form
    2,166.09/3,248.78 = 996.05/x
  3. Step 3: Cross multiply
    2,166.09x = 3,248.78 × 996.05
  4. Step 4: Simplify right side
    2,166.09x = 3,235,940.59
  5. Step 5: Solve for x
    x = 3,235,940.59/2,166.09
  6. Step 6: Final answer
    x = 1,493.91

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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.