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Finding the Fourth Proportional to 2,461.73, 3,692.66 and 818.09

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Solution

The fourth proportional to 2,461.73, 3,692.66 and 818.09 is: 1,227.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,461.73 : 3,692.66 = 818.09 : x
  2. Step 2: Convert to fraction form
    2,461.73/3,692.66 = 818.09/x
  3. Step 3: Cross multiply
    2,461.73x = 3,692.66 × 818.09
  4. Step 4: Simplify right side
    2,461.73x = 3,020,905.67
  5. Step 5: Solve for x
    x = 3,020,905.67/2,461.73
  6. Step 6: Final answer
    x = 1,227.15

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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.