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Finding the Fourth Proportional to 3,268.87, 4,509.65 and 1,942.31

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Solution

The fourth proportional to 3,268.87, 4,509.65 and 1,942.31 is: 2,679.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,268.87 : 4,509.65 = 1,942.31 : x
  2. Step 2: Convert to fraction form
    3,268.87/4,509.65 = 1,942.31/x
  3. Step 3: Cross multiply
    3,268.87x = 4,509.65 × 1,942.31
  4. Step 4: Simplify right side
    3,268.87x = 8,759,166.52
  5. Step 5: Solve for x
    x = 8,759,166.52/3,268.87
  6. Step 6: Final answer
    x = 2,679.57

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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.