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Finding the Fourth Proportional to 3,121.53, 4,305.89 and 1,942.98

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Solution

The fourth proportional to 3,121.53, 4,305.89 and 1,942.98 is: 2,680.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,121.53 : 4,305.89 = 1,942.98 : x
  2. Step 2: Convert to fraction form
    3,121.53/4,305.89 = 1,942.98/x
  3. Step 3: Cross multiply
    3,121.53x = 4,305.89 × 1,942.98
  4. Step 4: Simplify right side
    3,121.53x = 8,366,261.11
  5. Step 5: Solve for x
    x = 8,366,261.11/3,121.53
  6. Step 6: Final answer
    x = 2,680.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.