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Finding the Fourth Proportional to 2,622.44, 3,933.92 and 674.68

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Solution

The fourth proportional to 2,622.44, 3,933.92 and 674.68 is: 1,012.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,622.44 : 3,933.92 = 674.68 : x
  2. Step 2: Convert to fraction form
    2,622.44/3,933.92 = 674.68/x
  3. Step 3: Cross multiply
    2,622.44x = 3,933.92 × 674.68
  4. Step 4: Simplify right side
    2,622.44x = 2,654,137.15
  5. Step 5: Solve for x
    x = 2,654,137.15/2,622.44
  6. Step 6: Final answer
    x = 1,012.09

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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.