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Finding the Fourth Proportional to 3,241.21, 4,472.08 and 1,824.63

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Solution

The fourth proportional to 3,241.21, 4,472.08 and 1,824.63 is: 2,517.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,241.21 : 4,472.08 = 1,824.63 : x
  2. Step 2: Convert to fraction form
    3,241.21/4,472.08 = 1,824.63/x
  3. Step 3: Cross multiply
    3,241.21x = 4,472.08 × 1,824.63
  4. Step 4: Simplify right side
    3,241.21x = 8,159,891.33
  5. Step 5: Solve for x
    x = 8,159,891.33/3,241.21
  6. Step 6: Final answer
    x = 2,517.54

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1.5x scale

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.