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Finding the Fourth Proportional to 3,235.70, 4,853.55 and 2,198.90

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Solution

The fourth proportional to 3,235.70, 4,853.55 and 2,198.90 is: 3,298.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,235.70 : 4,853.55 = 2,198.90 : x
  2. Step 2: Convert to fraction form
    3,235.70/4,853.55 = 2,198.90/x
  3. Step 3: Cross multiply
    3,235.70x = 4,853.55 × 2,198.90
  4. Step 4: Simplify right side
    3,235.70x = 10,672,471.10
  5. Step 5: Solve for x
    x = 10,672,471.10/3,235.70
  6. Step 6: Final answer
    x = 3,298.35

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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.