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Finding the Fourth Proportional to 3,006.82, 4,149.24 and 1,680.25

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Solution

The fourth proportional to 3,006.82, 4,149.24 and 1,680.25 is: 2,318.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,006.82 : 4,149.24 = 1,680.25 : x
  2. Step 2: Convert to fraction form
    3,006.82/4,149.24 = 1,680.25/x
  3. Step 3: Cross multiply
    3,006.82x = 4,149.24 × 1,680.25
  4. Step 4: Simplify right side
    3,006.82x = 6,971,760.51
  5. Step 5: Solve for x
    x = 6,971,760.51/3,006.82
  6. Step 6: Final answer
    x = 2,318.65

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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.