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Finding the Fourth Proportional to 3,268.27, 4,509.71 and 1,941.94

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Solution

The fourth proportional to 3,268.27, 4,509.71 and 1,941.94 is: 2,679.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,268.27 : 4,509.71 = 1,941.94 : x
  2. Step 2: Convert to fraction form
    3,268.27/4,509.71 = 1,941.94/x
  3. Step 3: Cross multiply
    3,268.27x = 4,509.71 × 1,941.94
  4. Step 4: Simplify right side
    3,268.27x = 8,757,576.53
  5. Step 5: Solve for x
    x = 8,757,576.53/3,268.27
  6. Step 6: Final answer
    x = 2,679.58

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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.