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Finding the Fourth Proportional to 3,441.68, 5,162.58 and 1,361.60

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Solution

The fourth proportional to 3,441.68, 5,162.58 and 1,361.60 is: 2,042.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,441.68 : 5,162.58 = 1,361.60 : x
  2. Step 2: Convert to fraction form
    3,441.68/5,162.58 = 1,361.60/x
  3. Step 3: Cross multiply
    3,441.68x = 5,162.58 × 1,361.60
  4. Step 4: Simplify right side
    3,441.68x = 7,029,368.93
  5. Step 5: Solve for x
    x = 7,029,368.93/3,441.68
  6. Step 6: Final answer
    x = 2,042.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.