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Finding the Fourth Proportional to 2,039.86, 3,057.99 and 1,519.21

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Solution

The fourth proportional to 2,039.86, 3,057.99 and 1,519.21 is: 2,277.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,039.86 : 3,057.99 = 1,519.21 : x
  2. Step 2: Convert to fraction form
    2,039.86/3,057.99 = 1,519.21/x
  3. Step 3: Cross multiply
    2,039.86x = 3,057.99 × 1,519.21
  4. Step 4: Simplify right side
    2,039.86x = 4,645,728.99
  5. Step 5: Solve for x
    x = 4,645,728.99/2,039.86
  6. Step 6: Final answer
    x = 2,277.47

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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.