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Finding the Fourth Proportional to 2,991.83, 4,487.42 and 800.78

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Solution

The fourth proportional to 2,991.83, 4,487.42 and 800.78 is: 1,201.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,991.83 : 4,487.42 = 800.78 : x
  2. Step 2: Convert to fraction form
    2,991.83/4,487.42 = 800.78/x
  3. Step 3: Cross multiply
    2,991.83x = 4,487.42 × 800.78
  4. Step 4: Simplify right side
    2,991.83x = 3,593,409.75
  5. Step 5: Solve for x
    x = 3,593,409.75/2,991.83
  6. Step 6: Final answer
    x = 1,201.08

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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.