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Finding the Fourth Proportional to 2,747.81, 3,791.73 and 1,628.57

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Solution

The fourth proportional to 2,747.81, 3,791.73 and 1,628.57 is: 2,247.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,747.81 : 3,791.73 = 1,628.57 : x
  2. Step 2: Convert to fraction form
    2,747.81/3,791.73 = 1,628.57/x
  3. Step 3: Cross multiply
    2,747.81x = 3,791.73 × 1,628.57
  4. Step 4: Simplify right side
    2,747.81x = 6,175,097.73
  5. Step 5: Solve for x
    x = 6,175,097.73/2,747.81
  6. Step 6: Final answer
    x = 2,247.28

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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.