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Finding the Fourth Proportional to 2,249.64, 3,105.06 and 1,318.44

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Solution

The fourth proportional to 2,249.64, 3,105.06 and 1,318.44 is: 1,819.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,249.64 : 3,105.06 = 1,318.44 : x
  2. Step 2: Convert to fraction form
    2,249.64/3,105.06 = 1,318.44/x
  3. Step 3: Cross multiply
    2,249.64x = 3,105.06 × 1,318.44
  4. Step 4: Simplify right side
    2,249.64x = 4,093,835.31
  5. Step 5: Solve for x
    x = 4,093,835.31/2,249.64
  6. Step 6: Final answer
    x = 1,819.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.