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Finding the Fourth Proportional to 2,404.40, 3,604.01 and 1,169.22

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Solution

The fourth proportional to 2,404.40, 3,604.01 and 1,169.22 is: 1,752.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,404.40 : 3,604.01 = 1,169.22 : x
  2. Step 2: Convert to fraction form
    2,404.40/3,604.01 = 1,169.22/x
  3. Step 3: Cross multiply
    2,404.40x = 3,604.01 × 1,169.22
  4. Step 4: Simplify right side
    2,404.40x = 4,213,874.73
  5. Step 5: Solve for x
    x = 4,213,874.73/2,404.40
  6. Step 6: Final answer
    x = 1,752.57

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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.