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Finding the Fourth Proportional to 3,198.94, 4,800.47 and 2,208.87

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Solution

The fourth proportional to 3,198.94, 4,800.47 and 2,208.87 is: 3,314.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,198.94 : 4,800.47 = 2,208.87 : x
  2. Step 2: Convert to fraction form
    3,198.94/4,800.47 = 2,208.87/x
  3. Step 3: Cross multiply
    3,198.94x = 4,800.47 × 2,208.87
  4. Step 4: Simplify right side
    3,198.94x = 10,603,603.12
  5. Step 5: Solve for x
    x = 10,603,603.12/3,198.94
  6. Step 6: Final answer
    x = 3,314.72

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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.