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Finding the Fourth Proportional to 4,198.01, 6,291.49 and 1,731.46

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Solution

The fourth proportional to 4,198.01, 6,291.49 and 1,731.46 is: 2,594.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,198.01 : 6,291.49 = 1,731.46 : x
  2. Step 2: Convert to fraction form
    4,198.01/6,291.49 = 1,731.46/x
  3. Step 3: Cross multiply
    4,198.01x = 6,291.49 × 1,731.46
  4. Step 4: Simplify right side
    4,198.01x = 10,893,463.28
  5. Step 5: Solve for x
    x = 10,893,463.28/4,198.01
  6. Step 6: Final answer
    x = 2,594.91

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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.