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Finding the Fourth Proportional to 2,080.98, 3,122.26 and 620.14

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Solution

The fourth proportional to 2,080.98, 3,122.26 and 620.14 is: 930.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,080.98 : 3,122.26 = 620.14 : x
  2. Step 2: Convert to fraction form
    2,080.98/3,122.26 = 620.14/x
  3. Step 3: Cross multiply
    2,080.98x = 3,122.26 × 620.14
  4. Step 4: Simplify right side
    2,080.98x = 1,936,238.32
  5. Step 5: Solve for x
    x = 1,936,238.32/2,080.98
  6. Step 6: Final answer
    x = 930.45

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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.