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Finding the Fourth Proportional to 3,408.96, 4,704.48 and 2,011.68

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Solution

The fourth proportional to 3,408.96, 4,704.48 and 2,011.68 is: 2,776.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,408.96 : 4,704.48 = 2,011.68 : x
  2. Step 2: Convert to fraction form
    3,408.96/4,704.48 = 2,011.68/x
  3. Step 3: Cross multiply
    3,408.96x = 4,704.48 × 2,011.68
  4. Step 4: Simplify right side
    3,408.96x = 9,463,908.33
  5. Step 5: Solve for x
    x = 9,463,908.33/3,408.96
  6. Step 6: Final answer
    x = 2,776.19

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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.