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Finding the Fourth Proportional to 3,408.85, 4,704.60 and 1,896.56

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Solution

The fourth proportional to 3,408.85, 4,704.60 and 1,896.56 is: 2,617.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,408.85 : 4,704.60 = 1,896.56 : x
  2. Step 2: Convert to fraction form
    3,408.85/4,704.60 = 1,896.56/x
  3. Step 3: Cross multiply
    3,408.85x = 4,704.60 × 1,896.56
  4. Step 4: Simplify right side
    3,408.85x = 8,922,556.18
  5. Step 5: Solve for x
    x = 8,922,556.18/3,408.85
  6. Step 6: Final answer
    x = 2,617.47

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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.