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Finding the Fourth Proportional to 6,452.80, 9,680.86 and 2,070.29

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Solution

The fourth proportional to 6,452.80, 9,680.86 and 2,070.29 is: 3,105.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,452.80 : 9,680.86 = 2,070.29 : x
  2. Step 2: Convert to fraction form
    6,452.80/9,680.86 = 2,070.29/x
  3. Step 3: Cross multiply
    6,452.80x = 9,680.86 × 2,070.29
  4. Step 4: Simplify right side
    6,452.80x = 20,042,187.65
  5. Step 5: Solve for x
    x = 20,042,187.65/6,452.80
  6. Step 6: Final answer
    x = 3,105.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.