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Finding the Fourth Proportional to 2,712.89, 4,067.03 and 2,583.72

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Solution

The fourth proportional to 2,712.89, 4,067.03 and 2,583.72 is: 3,873.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,712.89 : 4,067.03 = 2,583.72 : x
  2. Step 2: Convert to fraction form
    2,712.89/4,067.03 = 2,583.72/x
  3. Step 3: Cross multiply
    2,712.89x = 4,067.03 × 2,583.72
  4. Step 4: Simplify right side
    2,712.89x = 10,508,073.21
  5. Step 5: Solve for x
    x = 10,508,073.21/2,712.89
  6. Step 6: Final answer
    x = 3,873.38

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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.