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Finding the Fourth Proportional to 2,991.22, 4,487 and 911.30

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Solution

The fourth proportional to 2,991.22, 4,487 and 911.30 is: 1,367.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,991.22 : 4,487 = 911.30 : x
  2. Step 2: Convert to fraction form
    2,991.22/4,487 = 911.30/x
  3. Step 3: Cross multiply
    2,991.22x = 4,487 × 911.30
  4. Step 4: Simplify right side
    2,991.22x = 4,089,003.10
  5. Step 5: Solve for x
    x = 4,089,003.10/2,991.22
  6. Step 6: Final answer
    x = 1,367.00

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Why These Related Problems?

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