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Finding the Fourth Proportional to 2,409.09, 3,614.17 and 765.73

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Solution

The fourth proportional to 2,409.09, 3,614.17 and 765.73 is: 1,148.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,409.09 : 3,614.17 = 765.73 : x
  2. Step 2: Convert to fraction form
    2,409.09/3,614.17 = 765.73/x
  3. Step 3: Cross multiply
    2,409.09x = 3,614.17 × 765.73
  4. Step 4: Simplify right side
    2,409.09x = 2,767,478.39
  5. Step 5: Solve for x
    x = 2,767,478.39/2,409.09
  6. Step 6: Final answer
    x = 1,148.77

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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.