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Finding the Fourth Proportional to 3,168.99, 4,755.56 and 1,414.46

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Solution

The fourth proportional to 3,168.99, 4,755.56 and 1,414.46 is: 2,122.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,168.99 : 4,755.56 = 1,414.46 : x
  2. Step 2: Convert to fraction form
    3,168.99/4,755.56 = 1,414.46/x
  3. Step 3: Cross multiply
    3,168.99x = 4,755.56 × 1,414.46
  4. Step 4: Simplify right side
    3,168.99x = 6,726,554.21
  5. Step 5: Solve for x
    x = 6,726,554.21/3,168.99
  6. Step 6: Final answer
    x = 2,122.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.