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Finding the Fourth Proportional to 2,435.86, 3,361.92 and 1,441.69

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Solution

The fourth proportional to 2,435.86, 3,361.92 and 1,441.69 is: 1,989.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,435.86 : 3,361.92 = 1,441.69 : x
  2. Step 2: Convert to fraction form
    2,435.86/3,361.92 = 1,441.69/x
  3. Step 3: Cross multiply
    2,435.86x = 3,361.92 × 1,441.69
  4. Step 4: Simplify right side
    2,435.86x = 4,846,846.44
  5. Step 5: Solve for x
    x = 4,846,846.44/2,435.86
  6. Step 6: Final answer
    x = 1,989.79

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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.