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Finding the Fourth Proportional to 3,243.53, 4,864.01 and 1,163.58

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Solution

The fourth proportional to 3,243.53, 4,864.01 and 1,163.58 is: 1,744.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,243.53 : 4,864.01 = 1,163.58 : x
  2. Step 2: Convert to fraction form
    3,243.53/4,864.01 = 1,163.58/x
  3. Step 3: Cross multiply
    3,243.53x = 4,864.01 × 1,163.58
  4. Step 4: Simplify right side
    3,243.53x = 5,659,658.94
  5. Step 5: Solve for x
    x = 5,659,658.94/3,243.53
  6. Step 6: Final answer
    x = 1,744.91

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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.