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Finding the Fourth Proportional to 2,057.77, 3,083.97 and 1,797.15

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Solution

The fourth proportional to 2,057.77, 3,083.97 and 1,797.15 is: 2,693.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,057.77 : 3,083.97 = 1,797.15 : x
  2. Step 2: Convert to fraction form
    2,057.77/3,083.97 = 1,797.15/x
  3. Step 3: Cross multiply
    2,057.77x = 3,083.97 × 1,797.15
  4. Step 4: Simplify right side
    2,057.77x = 5,542,374.99
  5. Step 5: Solve for x
    x = 5,542,374.99/2,057.77
  6. Step 6: Final answer
    x = 2,693.39

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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.