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Finding the Fourth Proportional to 3,006.46, 4,149.31 and 1,680.44

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Solution

The fourth proportional to 3,006.46, 4,149.31 and 1,680.44 is: 2,319.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,006.46 : 4,149.31 = 1,680.44 : x
  2. Step 2: Convert to fraction form
    3,006.46/4,149.31 = 1,680.44/x
  3. Step 3: Cross multiply
    3,006.46x = 4,149.31 × 1,680.44
  4. Step 4: Simplify right side
    3,006.46x = 6,972,666.50
  5. Step 5: Solve for x
    x = 6,972,666.50/3,006.46
  6. Step 6: Final answer
    x = 2,319.23

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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.