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Finding the Fourth Proportional to 3,198.78, 4,412.07 and 2,252.70

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Solution

The fourth proportional to 3,198.78, 4,412.07 and 2,252.70 is: 3,107.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,198.78 : 4,412.07 = 2,252.70 : x
  2. Step 2: Convert to fraction form
    3,198.78/4,412.07 = 2,252.70/x
  3. Step 3: Cross multiply
    3,198.78x = 4,412.07 × 2,252.70
  4. Step 4: Simplify right side
    3,198.78x = 9,939,070.09
  5. Step 5: Solve for x
    x = 9,939,070.09/3,198.78
  6. Step 6: Final answer
    x = 3,107.14

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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.