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Finding the Fourth Proportional to 3,194.57, 4,792.31 and 1,344.53

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Solution

The fourth proportional to 3,194.57, 4,792.31 and 1,344.53 is: 2,016.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,194.57 : 4,792.31 = 1,344.53 : x
  2. Step 2: Convert to fraction form
    3,194.57/4,792.31 = 1,344.53/x
  3. Step 3: Cross multiply
    3,194.57x = 4,792.31 × 1,344.53
  4. Step 4: Simplify right side
    3,194.57x = 6,443,373.88
  5. Step 5: Solve for x
    x = 6,443,373.88/3,194.57
  6. Step 6: Final answer
    x = 2,016.98

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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.