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Finding the Fourth Proportional to 3,043.96, 4,198.16 and 1,864.20

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Solution

The fourth proportional to 3,043.96, 4,198.16 and 1,864.20 is: 2,571.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,043.96 : 4,198.16 = 1,864.20 : x
  2. Step 2: Convert to fraction form
    3,043.96/4,198.16 = 1,864.20/x
  3. Step 3: Cross multiply
    3,043.96x = 4,198.16 × 1,864.20
  4. Step 4: Simplify right side
    3,043.96x = 7,826,209.87
  5. Step 5: Solve for x
    x = 7,826,209.87/3,043.96
  6. Step 6: Final answer
    x = 2,571.06

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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.