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Finding the Fourth Proportional to 4,121.70, 6,178.41 and 2,043.21

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Solution

The fourth proportional to 4,121.70, 6,178.41 and 2,043.21 is: 3,062.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,121.70 : 6,178.41 = 2,043.21 : x
  2. Step 2: Convert to fraction form
    4,121.70/6,178.41 = 2,043.21/x
  3. Step 3: Cross multiply
    4,121.70x = 6,178.41 × 2,043.21
  4. Step 4: Simplify right side
    4,121.70x = 12,623,789.10
  5. Step 5: Solve for x
    x = 12,623,789.10/4,121.70
  6. Step 6: Final answer
    x = 3,062.76

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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.