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Finding the Fourth Proportional to 2,716.31, 4,074.61 and 768.66

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Solution

The fourth proportional to 2,716.31, 4,074.61 and 768.66 is: 1,153.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,716.31 : 4,074.61 = 768.66 : x
  2. Step 2: Convert to fraction form
    2,716.31/4,074.61 = 768.66/x
  3. Step 3: Cross multiply
    2,716.31x = 4,074.61 × 768.66
  4. Step 4: Simplify right side
    2,716.31x = 3,131,989.72
  5. Step 5: Solve for x
    x = 3,131,989.72/2,716.31
  6. Step 6: Final answer
    x = 1,153.03

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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.