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Finding the Fourth Proportional to 3,083.41, 4,255.15 and 1,824.43

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Solution

The fourth proportional to 3,083.41, 4,255.15 and 1,824.43 is: 2,517.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,083.41 : 4,255.15 = 1,824.43 : x
  2. Step 2: Convert to fraction form
    3,083.41/4,255.15 = 1,824.43/x
  3. Step 3: Cross multiply
    3,083.41x = 4,255.15 × 1,824.43
  4. Step 4: Simplify right side
    3,083.41x = 7,763,229.39
  5. Step 5: Solve for x
    x = 7,763,229.39/3,083.41
  6. Step 6: Final answer
    x = 2,517.74

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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.