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Finding the Fourth Proportional to 3,006.73, 4,149.41 and 1,680.43

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Solution

The fourth proportional to 3,006.73, 4,149.41 and 1,680.43 is: 2,319.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,006.73 : 4,149.41 = 1,680.43 : x
  2. Step 2: Convert to fraction form
    3,006.73/4,149.41 = 1,680.43/x
  3. Step 3: Cross multiply
    3,006.73x = 4,149.41 × 1,680.43
  4. Step 4: Simplify right side
    3,006.73x = 6,972,816.10
  5. Step 5: Solve for x
    x = 6,972,816.10/3,006.73
  6. Step 6: Final answer
    x = 2,319.07

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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.