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Finding the Fourth Proportional to 2,380.14, 3,569.76 and 736.62

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Solution

The fourth proportional to 2,380.14, 3,569.76 and 736.62 is: 1,104.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,380.14 : 3,569.76 = 736.62 : x
  2. Step 2: Convert to fraction form
    2,380.14/3,569.76 = 736.62/x
  3. Step 3: Cross multiply
    2,380.14x = 3,569.76 × 736.62
  4. Step 4: Simplify right side
    2,380.14x = 2,629,556.61
  5. Step 5: Solve for x
    x = 2,629,556.61/2,380.14
  6. Step 6: Final answer
    x = 1,104.79

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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.