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Finding the Fourth Proportional to 3,442.46, 5,163.60 and 1,251.23

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Solution

The fourth proportional to 3,442.46, 5,163.60 and 1,251.23 is: 1,876.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,442.46 : 5,163.60 = 1,251.23 : x
  2. Step 2: Convert to fraction form
    3,442.46/5,163.60 = 1,251.23/x
  3. Step 3: Cross multiply
    3,442.46x = 5,163.60 × 1,251.23
  4. Step 4: Simplify right side
    3,442.46x = 6,460,851.23
  5. Step 5: Solve for x
    x = 6,460,851.23/3,442.46
  6. Step 6: Final answer
    x = 1,876.81

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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.