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Finding the Fourth Proportional to 2,615.67, 3,922.90 and 1,229.96

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Solution

The fourth proportional to 2,615.67, 3,922.90 and 1,229.96 is: 1,844.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,615.67 : 3,922.90 = 1,229.96 : x
  2. Step 2: Convert to fraction form
    2,615.67/3,922.90 = 1,229.96/x
  3. Step 3: Cross multiply
    2,615.67x = 3,922.90 × 1,229.96
  4. Step 4: Simplify right side
    2,615.67x = 4,825,016.82
  5. Step 5: Solve for x
    x = 4,825,016.82/2,615.67
  6. Step 6: Final answer
    x = 1,844.66

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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.