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Finding the Fourth Proportional to 3,193.92, 4,791.24 and 1,462.32

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Solution

The fourth proportional to 3,193.92, 4,791.24 and 1,462.32 is: 2,193.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,193.92 : 4,791.24 = 1,462.32 : x
  2. Step 2: Convert to fraction form
    3,193.92/4,791.24 = 1,462.32/x
  3. Step 3: Cross multiply
    3,193.92x = 4,791.24 × 1,462.32
  4. Step 4: Simplify right side
    3,193.92x = 7,006,326.08
  5. Step 5: Solve for x
    x = 7,006,326.08/3,193.92
  6. Step 6: Final answer
    x = 2,193.64

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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.