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Finding the Fourth Proportional to 3,108.69, 4,662.98 and 768.69

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Solution

The fourth proportional to 3,108.69, 4,662.98 and 768.69 is: 1,153.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,108.69 : 4,662.98 = 768.69 : x
  2. Step 2: Convert to fraction form
    3,108.69/4,662.98 = 768.69/x
  3. Step 3: Cross multiply
    3,108.69x = 4,662.98 × 768.69
  4. Step 4: Simplify right side
    3,108.69x = 3,584,362.78
  5. Step 5: Solve for x
    x = 3,584,362.78/3,108.69
  6. Step 6: Final answer
    x = 1,153.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.