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Finding the Fourth Proportional to 1,962.09, 2,942.73 and 663.12

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Solution

The fourth proportional to 1,962.09, 2,942.73 and 663.12 is: 994.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,962.09 : 2,942.73 = 663.12 : x
  2. Step 2: Convert to fraction form
    1,962.09/2,942.73 = 663.12/x
  3. Step 3: Cross multiply
    1,962.09x = 2,942.73 × 663.12
  4. Step 4: Simplify right side
    1,962.09x = 1,951,383.12
  5. Step 5: Solve for x
    x = 1,951,383.12/1,962.09
  6. Step 6: Final answer
    x = 994.54

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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.