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Finding the Fourth Proportional to 2,662.35, 3,991.86 and 812.85

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Solution

The fourth proportional to 2,662.35, 3,991.86 and 812.85 is: 1,218.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,662.35 : 3,991.86 = 812.85 : x
  2. Step 2: Convert to fraction form
    2,662.35/3,991.86 = 812.85/x
  3. Step 3: Cross multiply
    2,662.35x = 3,991.86 × 812.85
  4. Step 4: Simplify right side
    2,662.35x = 3,244,783.40
  5. Step 5: Solve for x
    x = 3,244,783.40/2,662.35
  6. Step 6: Final answer
    x = 1,218.77

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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.