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Finding the Fourth Proportional to 2,066.65, 3,100.37 and 680.39

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Solution

The fourth proportional to 2,066.65, 3,100.37 and 680.39 is: 1,020.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,066.65 : 3,100.37 = 680.39 : x
  2. Step 2: Convert to fraction form
    2,066.65/3,100.37 = 680.39/x
  3. Step 3: Cross multiply
    2,066.65x = 3,100.37 × 680.39
  4. Step 4: Simplify right side
    2,066.65x = 2,109,452.99
  5. Step 5: Solve for x
    x = 2,109,452.99/2,066.65
  6. Step 6: Final answer
    x = 1,020.71

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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.