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Finding the Fourth Proportional to 2,400.12, 3,601.62 and 861.24

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Solution

The fourth proportional to 2,400.12, 3,601.62 and 861.24 is: 1,292.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,400.12 : 3,601.62 = 861.24 : x
  2. Step 2: Convert to fraction form
    2,400.12/3,601.62 = 861.24/x
  3. Step 3: Cross multiply
    2,400.12x = 3,601.62 × 861.24
  4. Step 4: Simplify right side
    2,400.12x = 3,101,859.21
  5. Step 5: Solve for x
    x = 3,101,859.21/2,400.12
  6. Step 6: Final answer
    x = 1,292.38

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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.