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Finding the Fourth Proportional to 2,777.87, 3,833.57 and 1,519.01

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Solution

The fourth proportional to 2,777.87, 3,833.57 and 1,519.01 is: 2,096.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,777.87 : 3,833.57 = 1,519.01 : x
  2. Step 2: Convert to fraction form
    2,777.87/3,833.57 = 1,519.01/x
  3. Step 3: Cross multiply
    2,777.87x = 3,833.57 × 1,519.01
  4. Step 4: Simplify right side
    2,777.87x = 5,823,233.15
  5. Step 5: Solve for x
    x = 5,823,233.15/2,777.87
  6. Step 6: Final answer
    x = 2,096.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.