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Finding the Fourth Proportional to 2,015.89, 2,782.10 and 1,219.33

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Solution

The fourth proportional to 2,015.89, 2,782.10 and 1,219.33 is: 1,682.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,015.89 : 2,782.10 = 1,219.33 : x
  2. Step 2: Convert to fraction form
    2,015.89/2,782.10 = 1,219.33/x
  3. Step 3: Cross multiply
    2,015.89x = 2,782.10 × 1,219.33
  4. Step 4: Simplify right side
    2,015.89x = 3,392,297.99
  5. Step 5: Solve for x
    x = 3,392,297.99/2,015.89
  6. Step 6: Final answer
    x = 1,682.78

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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.