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Finding the Fourth Proportional to 2,991.72, 4,487.58 and 1,261.56

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Solution

The fourth proportional to 2,991.72, 4,487.58 and 1,261.56 is: 1,892.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,991.72 : 4,487.58 = 1,261.56 : x
  2. Step 2: Convert to fraction form
    2,991.72/4,487.58 = 1,261.56/x
  3. Step 3: Cross multiply
    2,991.72x = 4,487.58 × 1,261.56
  4. Step 4: Simplify right side
    2,991.72x = 5,661,351.42
  5. Step 5: Solve for x
    x = 5,661,351.42/2,991.72
  6. Step 6: Final answer
    x = 1,892.34

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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.