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Finding the Fourth Proportional to 1,838.57, 2,757.76 and 451.82

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Solution

The fourth proportional to 1,838.57, 2,757.76 and 451.82 is: 677.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,838.57 : 2,757.76 = 451.82 : x
  2. Step 2: Convert to fraction form
    1,838.57/2,757.76 = 451.82/x
  3. Step 3: Cross multiply
    1,838.57x = 2,757.76 × 451.82
  4. Step 4: Simplify right side
    1,838.57x = 1,246,016.89
  5. Step 5: Solve for x
    x = 1,246,016.89/1,838.57
  6. Step 6: Final answer
    x = 677.71

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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.