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Finding the Fourth Proportional to 2,412.44, 3,618.15 and 680.66

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Solution

The fourth proportional to 2,412.44, 3,618.15 and 680.66 is: 1,020.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,412.44 : 3,618.15 = 680.66 : x
  2. Step 2: Convert to fraction form
    2,412.44/3,618.15 = 680.66/x
  3. Step 3: Cross multiply
    2,412.44x = 3,618.15 × 680.66
  4. Step 4: Simplify right side
    2,412.44x = 2,462,729.98
  5. Step 5: Solve for x
    x = 2,462,729.98/2,412.44
  6. Step 6: Final answer
    x = 1,020.85

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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.