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Finding the Fourth Proportional to 3,006.65, 4,148.99 and 1,680.44

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Solution

The fourth proportional to 3,006.65, 4,148.99 and 1,680.44 is: 2,318.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,006.65 : 4,148.99 = 1,680.44 : x
  2. Step 2: Convert to fraction form
    3,006.65/4,148.99 = 1,680.44/x
  3. Step 3: Cross multiply
    3,006.65x = 4,148.99 × 1,680.44
  4. Step 4: Simplify right side
    3,006.65x = 6,972,112.21
  5. Step 5: Solve for x
    x = 6,972,112.21/3,006.65
  6. Step 6: Final answer
    x = 2,318.90

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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.