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Finding the Fourth Proportional to 2,057.68, 3,086.67 and 887.43

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Solution

The fourth proportional to 2,057.68, 3,086.67 and 887.43 is: 1,331.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,057.68 : 3,086.67 = 887.43 : x
  2. Step 2: Convert to fraction form
    2,057.68/3,086.67 = 887.43/x
  3. Step 3: Cross multiply
    2,057.68x = 3,086.67 × 887.43
  4. Step 4: Simplify right side
    2,057.68x = 2,739,203.56
  5. Step 5: Solve for x
    x = 2,739,203.56/2,057.68
  6. Step 6: Final answer
    x = 1,331.21

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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.