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Finding the Fourth Proportional to 3,193.62, 4,792.34 and 1,344.61

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Solution

The fourth proportional to 3,193.62, 4,792.34 and 1,344.61 is: 2,017.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,193.62 : 4,792.34 = 1,344.61 : x
  2. Step 2: Convert to fraction form
    3,193.62/4,792.34 = 1,344.61/x
  3. Step 3: Cross multiply
    3,193.62x = 4,792.34 × 1,344.61
  4. Step 4: Simplify right side
    3,193.62x = 6,443,828.29
  5. Step 5: Solve for x
    x = 6,443,828.29/3,193.62
  6. Step 6: Final answer
    x = 2,017.72

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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.