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Finding the Fourth Proportional to 3,195.92, 4,792.26 and 1,463.06

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Solution

The fourth proportional to 3,195.92, 4,792.26 and 1,463.06 is: 2,193.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,195.92 : 4,792.26 = 1,463.06 : x
  2. Step 2: Convert to fraction form
    3,195.92/4,792.26 = 1,463.06/x
  3. Step 3: Cross multiply
    3,195.92x = 4,792.26 × 1,463.06
  4. Step 4: Simplify right side
    3,195.92x = 7,011,375.90
  5. Step 5: Solve for x
    x = 7,011,375.90/3,195.92
  6. Step 6: Final answer
    x = 2,193.85

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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.