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Finding the Fourth Proportional to 2,785.24, 3,819.24 and 2,692.09

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Solution

The fourth proportional to 2,785.24, 3,819.24 and 2,692.09 is: 3,691.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,785.24 : 3,819.24 = 2,692.09 : x
  2. Step 2: Convert to fraction form
    2,785.24/3,819.24 = 2,692.09/x
  3. Step 3: Cross multiply
    2,785.24x = 3,819.24 × 2,692.09
  4. Step 4: Simplify right side
    2,785.24x = 10,281,737.81
  5. Step 5: Solve for x
    x = 10,281,737.81/2,785.24
  6. Step 6: Final answer
    x = 3,691.51

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.