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Finding the Fourth Proportional to 2,644.60, 3,965.30 and 1,396.19

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Solution

The fourth proportional to 2,644.60, 3,965.30 and 1,396.19 is: 2,093.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,644.60 : 3,965.30 = 1,396.19 : x
  2. Step 2: Convert to fraction form
    2,644.60/3,965.30 = 1,396.19/x
  3. Step 3: Cross multiply
    2,644.60x = 3,965.30 × 1,396.19
  4. Step 4: Simplify right side
    2,644.60x = 5,536,305.92
  5. Step 5: Solve for x
    x = 5,536,305.92/2,644.60
  6. Step 6: Final answer
    x = 2,093.44

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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.