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Finding the Fourth Proportional to 2,771.03, 3,824.09 and 1,512.11

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Solution

The fourth proportional to 2,771.03, 3,824.09 and 1,512.11 is: 2,086.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,771.03 : 3,824.09 = 1,512.11 : x
  2. Step 2: Convert to fraction form
    2,771.03/3,824.09 = 1,512.11/x
  3. Step 3: Cross multiply
    2,771.03x = 3,824.09 × 1,512.11
  4. Step 4: Simplify right side
    2,771.03x = 5,782,418.05
  5. Step 5: Solve for x
    x = 5,782,418.05/2,771.03
  6. Step 6: Final answer
    x = 2,086.74

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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.