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Finding the Fourth Proportional to 3,043.76, 4,198.18 and 2,942.12

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Solution

The fourth proportional to 3,043.76, 4,198.18 and 2,942.12 is: 4,057.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,043.76 : 4,198.18 = 2,942.12 : x
  2. Step 2: Convert to fraction form
    3,043.76/4,198.18 = 2,942.12/x
  3. Step 3: Cross multiply
    3,043.76x = 4,198.18 × 2,942.12
  4. Step 4: Simplify right side
    3,043.76x = 12,351,549.34
  5. Step 5: Solve for x
    x = 12,351,549.34/3,043.76
  6. Step 6: Final answer
    x = 4,057.99

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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.