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Finding the Fourth Proportional to 2,096.00, 2,892.27 and 1,211.78

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Solution

The fourth proportional to 2,096.00, 2,892.27 and 1,211.78 is: 1,672.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,096.00 : 2,892.27 = 1,211.78 : x
  2. Step 2: Convert to fraction form
    2,096.00/2,892.27 = 1,211.78/x
  3. Step 3: Cross multiply
    2,096.00x = 2,892.27 × 1,211.78
  4. Step 4: Simplify right side
    2,096.00x = 3,504,806.72
  5. Step 5: Solve for x
    x = 3,504,806.72/2,096.00
  6. Step 6: Final answer
    x = 1,672.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.