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Finding the Fourth Proportional to 2,462.66, 3,692.61 and 818.76

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Solution

The fourth proportional to 2,462.66, 3,692.61 and 818.76 is: 1,227.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,462.66 : 3,692.61 = 818.76 : x
  2. Step 2: Convert to fraction form
    2,462.66/3,692.61 = 818.76/x
  3. Step 3: Cross multiply
    2,462.66x = 3,692.61 × 818.76
  4. Step 4: Simplify right side
    2,462.66x = 3,023,361.36
  5. Step 5: Solve for x
    x = 3,023,361.36/2,462.66
  6. Step 6: Final answer
    x = 1,227.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.