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Finding the Fourth Proportional to 3,108.18, 4,662.23 and 768.19

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Solution

The fourth proportional to 3,108.18, 4,662.23 and 768.19 is: 1,152.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,108.18 : 4,662.23 = 768.19 : x
  2. Step 2: Convert to fraction form
    3,108.18/4,662.23 = 768.19/x
  3. Step 3: Cross multiply
    3,108.18x = 4,662.23 × 768.19
  4. Step 4: Simplify right side
    3,108.18x = 3,581,464.04
  5. Step 5: Solve for x
    x = 3,581,464.04/3,108.18
  6. Step 6: Final answer
    x = 1,152.27

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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.