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Finding the Fourth Proportional to 2,508.44, 3,761.38 and 1,468.67

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Solution

The fourth proportional to 2,508.44, 3,761.38 and 1,468.67 is: 2,202.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,508.44 : 3,761.38 = 1,468.67 : x
  2. Step 2: Convert to fraction form
    2,508.44/3,761.38 = 1,468.67/x
  3. Step 3: Cross multiply
    2,508.44x = 3,761.38 × 1,468.67
  4. Step 4: Simplify right side
    2,508.44x = 5,524,218.62
  5. Step 5: Solve for x
    x = 5,524,218.62/2,508.44
  6. Step 6: Final answer
    x = 2,202.25

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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.