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Finding the Fourth Proportional to 1,796.54, 2,695.66 and 756.78

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Solution

The fourth proportional to 1,796.54, 2,695.66 and 756.78 is: 1,135.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,796.54 : 2,695.66 = 756.78 : x
  2. Step 2: Convert to fraction form
    1,796.54/2,695.66 = 756.78/x
  3. Step 3: Cross multiply
    1,796.54x = 2,695.66 × 756.78
  4. Step 4: Simplify right side
    1,796.54x = 2,040,021.57
  5. Step 5: Solve for x
    x = 2,040,021.57/1,796.54
  6. Step 6: Final answer
    x = 1,135.53

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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.