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Finding the Fourth Proportional to 2,747.46, 3,791.15 and 1,628.15

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Solution

The fourth proportional to 2,747.46, 3,791.15 and 1,628.15 is: 2,246.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,747.46 : 3,791.15 = 1,628.15 : x
  2. Step 2: Convert to fraction form
    2,747.46/3,791.15 = 1,628.15/x
  3. Step 3: Cross multiply
    2,747.46x = 3,791.15 × 1,628.15
  4. Step 4: Simplify right side
    2,747.46x = 6,172,533.78
  5. Step 5: Solve for x
    x = 6,172,533.78/2,747.46
  6. Step 6: Final answer
    x = 2,246.63

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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.