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Finding the Fourth Proportional to 2,461, 3,692.22 and 729.68

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Solution

The fourth proportional to 2,461, 3,692.22 and 729.68 is: 1,094.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,461 : 3,692.22 = 729.68 : x
  2. Step 2: Convert to fraction form
    2,461/3,692.22 = 729.68/x
  3. Step 3: Cross multiply
    2,461x = 3,692.22 × 729.68
  4. Step 4: Simplify right side
    2,461x = 2,694,139.09
  5. Step 5: Solve for x
    x = 2,694,139.09/2,461
  6. Step 6: Final answer
    x = 1,094.73

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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.