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Finding the Fourth Proportional to 2,462.52, 3,692.34 and 818.62

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Solution

The fourth proportional to 2,462.52, 3,692.34 and 818.62 is: 1,227.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,462.52 : 3,692.34 = 818.62 : x
  2. Step 2: Convert to fraction form
    2,462.52/3,692.34 = 818.62/x
  3. Step 3: Cross multiply
    2,462.52x = 3,692.34 × 818.62
  4. Step 4: Simplify right side
    2,462.52x = 3,022,623.37
  5. Step 5: Solve for x
    x = 3,022,623.37/2,462.52
  6. Step 6: Final answer
    x = 1,227.45

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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.