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Finding the Fourth Proportional to 2,401.44, 3,601.84 and 669.92

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Solution

The fourth proportional to 2,401.44, 3,601.84 and 669.92 is: 1,004.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,401.44 : 3,601.84 = 669.92 : x
  2. Step 2: Convert to fraction form
    2,401.44/3,601.84 = 669.92/x
  3. Step 3: Cross multiply
    2,401.44x = 3,601.84 × 669.92
  4. Step 4: Simplify right side
    2,401.44x = 2,412,944.65
  5. Step 5: Solve for x
    x = 2,412,944.65/2,401.44
  6. Step 6: Final answer
    x = 1,004.79

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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.