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Finding the Fourth Proportional to 2,404.12, 3,606.62 and 843.66

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Solution

The fourth proportional to 2,404.12, 3,606.62 and 843.66 is: 1,265.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,404.12 : 3,606.62 = 843.66 : x
  2. Step 2: Convert to fraction form
    2,404.12/3,606.62 = 843.66/x
  3. Step 3: Cross multiply
    2,404.12x = 3,606.62 × 843.66
  4. Step 4: Simplify right side
    2,404.12x = 3,042,761.03
  5. Step 5: Solve for x
    x = 3,042,761.03/2,404.12
  6. Step 6: Final answer
    x = 1,265.64

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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.