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Finding the Fourth Proportional to 1,267.66, 1,896.41 and 1,096.17

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Solution

The fourth proportional to 1,267.66, 1,896.41 and 1,096.17 is: 1,639.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,267.66 : 1,896.41 = 1,096.17 : x
  2. Step 2: Convert to fraction form
    1,267.66/1,896.41 = 1,096.17/x
  3. Step 3: Cross multiply
    1,267.66x = 1,896.41 × 1,096.17
  4. Step 4: Simplify right side
    1,267.66x = 2,078,789.38
  5. Step 5: Solve for x
    x = 2,078,789.38/1,267.66
  6. Step 6: Final answer
    x = 1,639.87

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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.