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Finding the Fourth Proportional to 2,462.29, 3,692.94 and 818.35

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Solution

The fourth proportional to 2,462.29, 3,692.94 and 818.35 is: 1,227.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,462.29 : 3,692.94 = 818.35 : x
  2. Step 2: Convert to fraction form
    2,462.29/3,692.94 = 818.35/x
  3. Step 3: Cross multiply
    2,462.29x = 3,692.94 × 818.35
  4. Step 4: Simplify right side
    2,462.29x = 3,022,117.45
  5. Step 5: Solve for x
    x = 3,022,117.45/2,462.29
  6. Step 6: Final answer
    x = 1,227.36

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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.