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Finding the Fourth Proportional to 2,287.46, 3,431.19 and 920.42

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Solution

The fourth proportional to 2,287.46, 3,431.19 and 920.42 is: 1,380.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,287.46 : 3,431.19 = 920.42 : x
  2. Step 2: Convert to fraction form
    2,287.46/3,431.19 = 920.42/x
  3. Step 3: Cross multiply
    2,287.46x = 3,431.19 × 920.42
  4. Step 4: Simplify right side
    2,287.46x = 3,158,135.90
  5. Step 5: Solve for x
    x = 3,158,135.90/2,287.46
  6. Step 6: Final answer
    x = 1,380.63

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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.