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Finding the Fourth Proportional to 2,249.62, 3,104.76 and 1,410.56

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Solution

The fourth proportional to 2,249.62, 3,104.76 and 1,410.56 is: 1,946.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,249.62 : 3,104.76 = 1,410.56 : x
  2. Step 2: Convert to fraction form
    2,249.62/3,104.76 = 1,410.56/x
  3. Step 3: Cross multiply
    2,249.62x = 3,104.76 × 1,410.56
  4. Step 4: Simplify right side
    2,249.62x = 4,379,450.27
  5. Step 5: Solve for x
    x = 4,379,450.27/2,249.62
  6. Step 6: Final answer
    x = 1,946.75

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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.