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Finding the Fourth Proportional to 3,241.70, 4,470 and 2,191.94

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Solution

The fourth proportional to 3,241.70, 4,470 and 2,191.94 is: 3,022.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,241.70 : 4,470 = 2,191.94 : x
  2. Step 2: Convert to fraction form
    3,241.70/4,470 = 2,191.94/x
  3. Step 3: Cross multiply
    3,241.70x = 4,470 × 2,191.94
  4. Step 4: Simplify right side
    3,241.70x = 9,797,949.45
  5. Step 5: Solve for x
    x = 9,797,949.45/3,241.70
  6. Step 6: Final answer
    x = 3,022.48

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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.