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Finding the Fourth Proportional to 2,096.81, 2,893.82 and 1,311.11

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Solution

The fourth proportional to 2,096.81, 2,893.82 and 1,311.11 is: 1,809.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,096.81 : 2,893.82 = 1,311.11 : x
  2. Step 2: Convert to fraction form
    2,096.81/2,893.82 = 1,311.11/x
  3. Step 3: Cross multiply
    2,096.81x = 2,893.82 × 1,311.11
  4. Step 4: Simplify right side
    2,096.81x = 3,794,116.34
  5. Step 5: Solve for x
    x = 3,794,116.34/2,096.81
  6. Step 6: Final answer
    x = 1,809.47

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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.