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Finding the Fourth Proportional to 2,462.89, 3,692.26 and 1,145.97

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Solution

The fourth proportional to 2,462.89, 3,692.26 and 1,145.97 is: 1,717.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,462.89 : 3,692.26 = 1,145.97 : x
  2. Step 2: Convert to fraction form
    2,462.89/3,692.26 = 1,145.97/x
  3. Step 3: Cross multiply
    2,462.89x = 3,692.26 × 1,145.97
  4. Step 4: Simplify right side
    2,462.89x = 4,231,200.73
  5. Step 5: Solve for x
    x = 4,231,200.73/2,462.89
  6. Step 6: Final answer
    x = 1,717.98

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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.