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Finding the Fourth Proportional to 3,108.16, 4,662.32 and 799.68

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Solution

The fourth proportional to 3,108.16, 4,662.32 and 799.68 is: 1,199.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,108.16 : 4,662.32 = 799.68 : x
  2. Step 2: Convert to fraction form
    3,108.16/4,662.32 = 799.68/x
  3. Step 3: Cross multiply
    3,108.16x = 4,662.32 × 799.68
  4. Step 4: Simplify right side
    3,108.16x = 3,728,364.06
  5. Step 5: Solve for x
    x = 3,728,364.06/3,108.16
  6. Step 6: Final answer
    x = 1,199.54

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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.