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Finding the Fourth Proportional to 2,412.33, 3,618.09 and 680.55

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Solution

The fourth proportional to 2,412.33, 3,618.09 and 680.55 is: 1,020.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,412.33 : 3,618.09 = 680.55 : x
  2. Step 2: Convert to fraction form
    2,412.33/3,618.09 = 680.55/x
  3. Step 3: Cross multiply
    2,412.33x = 3,618.09 × 680.55
  4. Step 4: Simplify right side
    2,412.33x = 2,462,287.75
  5. Step 5: Solve for x
    x = 2,462,287.75/2,412.33
  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.