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Finding the Fourth Proportional to 2,049.21, 3,072.86 and 680.25

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Solution

The fourth proportional to 2,049.21, 3,072.86 and 680.25 is: 1,020.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,049.21 : 3,072.86 = 680.25 : x
  2. Step 2: Convert to fraction form
    2,049.21/3,072.86 = 680.25/x
  3. Step 3: Cross multiply
    2,049.21x = 3,072.86 × 680.25
  4. Step 4: Simplify right side
    2,049.21x = 2,090,309.61
  5. Step 5: Solve for x
    x = 2,090,309.61/2,049.21
  6. Step 6: Final answer
    x = 1,020.06

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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.