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Finding the Fourth Proportional to 2,583.27, 3,874.56 and 734.55

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Solution

The fourth proportional to 2,583.27, 3,874.56 and 734.55 is: 1,101.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,583.27 : 3,874.56 = 734.55 : x
  2. Step 2: Convert to fraction form
    2,583.27/3,874.56 = 734.55/x
  3. Step 3: Cross multiply
    2,583.27x = 3,874.56 × 734.55
  4. Step 4: Simplify right side
    2,583.27x = 2,846,058.05
  5. Step 5: Solve for x
    x = 2,846,058.05/2,583.27
  6. Step 6: Final answer
    x = 1,101.73

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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.