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Finding the Fourth Proportional to 3,096.78, 4,645.07 and 756.80

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Solution

The fourth proportional to 3,096.78, 4,645.07 and 756.80 is: 1,135.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,096.78 : 4,645.07 = 756.80 : x
  2. Step 2: Convert to fraction form
    3,096.78/4,645.07 = 756.80/x
  3. Step 3: Cross multiply
    3,096.78x = 4,645.07 × 756.80
  4. Step 4: Simplify right side
    3,096.78x = 3,515,388.98
  5. Step 5: Solve for x
    x = 3,515,388.98/3,096.78
  6. Step 6: Final answer
    x = 1,135.18

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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.