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Finding the Fourth Proportional to 2,922.29, 4,383.38 and 731.01

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Solution

The fourth proportional to 2,922.29, 4,383.38 and 731.01 is: 1,096.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,922.29 : 4,383.38 = 731.01 : x
  2. Step 2: Convert to fraction form
    2,922.29/4,383.38 = 731.01/x
  3. Step 3: Cross multiply
    2,922.29x = 4,383.38 × 731.01
  4. Step 4: Simplify right side
    2,922.29x = 3,204,296.44
  5. Step 5: Solve for x
    x = 3,204,296.44/2,922.29
  6. Step 6: Final answer
    x = 1,096.50

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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.