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Finding the Fourth Proportional to 3,161.70, 4,361.13 and 2,464.74

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Solution

The fourth proportional to 3,161.70, 4,361.13 and 2,464.74 is: 3,399.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,161.70 : 4,361.13 = 2,464.74 : x
  2. Step 2: Convert to fraction form
    3,161.70/4,361.13 = 2,464.74/x
  3. Step 3: Cross multiply
    3,161.70x = 4,361.13 × 2,464.74
  4. Step 4: Simplify right side
    3,161.70x = 10,749,051.56
  5. Step 5: Solve for x
    x = 10,749,051.56/3,161.70
  6. Step 6: Final answer
    x = 3,399.77

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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.