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Finding the Fourth Proportional to 3,193.46, 4,791.92 and 1,345.87

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Solution

The fourth proportional to 3,193.46, 4,791.92 and 1,345.87 is: 2,019.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,193.46 : 4,791.92 = 1,345.87 : x
  2. Step 2: Convert to fraction form
    3,193.46/4,791.92 = 1,345.87/x
  3. Step 3: Cross multiply
    3,193.46x = 4,791.92 × 1,345.87
  4. Step 4: Simplify right side
    3,193.46x = 6,449,301.37
  5. Step 5: Solve for x
    x = 6,449,301.37/3,193.46
  6. Step 6: Final answer
    x = 2,019.53

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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.