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Finding the Fourth Proportional to 2,512.22, 3,769.47 and 1,278.99

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Solution

The fourth proportional to 2,512.22, 3,769.47 and 1,278.99 is: 1,919.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,512.22 : 3,769.47 = 1,278.99 : x
  2. Step 2: Convert to fraction form
    2,512.22/3,769.47 = 1,278.99/x
  3. Step 3: Cross multiply
    2,512.22x = 3,769.47 × 1,278.99
  4. Step 4: Simplify right side
    2,512.22x = 4,821,114.44
  5. Step 5: Solve for x
    x = 4,821,114.44/2,512.22
  6. Step 6: Final answer
    x = 1,919.07

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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.