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Finding the Fourth Proportional to 2,991.44, 4,487.49 and 1,142.96

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Solution

The fourth proportional to 2,991.44, 4,487.49 and 1,142.96 is: 1,714.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,991.44 : 4,487.49 = 1,142.96 : x
  2. Step 2: Convert to fraction form
    2,991.44/4,487.49 = 1,142.96/x
  3. Step 3: Cross multiply
    2,991.44x = 4,487.49 × 1,142.96
  4. Step 4: Simplify right side
    2,991.44x = 5,128,999.13
  5. Step 5: Solve for x
    x = 5,128,999.13/2,991.44
  6. Step 6: Final answer
    x = 1,714.56

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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.