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Finding the Fourth Proportional to 2,622.56, 3,933.99 and 674.73

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Solution

The fourth proportional to 2,622.56, 3,933.99 and 674.73 is: 1,012.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,622.56 : 3,933.99 = 674.73 : x
  2. Step 2: Convert to fraction form
    2,622.56/3,933.99 = 674.73/x
  3. Step 3: Cross multiply
    2,622.56x = 3,933.99 × 674.73
  4. Step 4: Simplify right side
    2,622.56x = 2,654,381.07
  5. Step 5: Solve for x
    x = 2,654,381.07/2,622.56
  6. Step 6: Final answer
    x = 1,012.14

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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.