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Finding the Fourth Proportional to 3,241.25, 4,472.81 and 1,824.96

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Solution

The fourth proportional to 3,241.25, 4,472.81 and 1,824.96 is: 2,518.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,241.25 : 4,472.81 = 1,824.96 : x
  2. Step 2: Convert to fraction form
    3,241.25/4,472.81 = 1,824.96/x
  3. Step 3: Cross multiply
    3,241.25x = 4,472.81 × 1,824.96
  4. Step 4: Simplify right side
    3,241.25x = 8,162,690.21
  5. Step 5: Solve for x
    x = 8,162,690.21/3,241.25
  6. Step 6: Final answer
    x = 2,518.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.