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Finding the Fourth Proportional to 2,057.22, 3,086.84 and 962.37

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Solution

The fourth proportional to 2,057.22, 3,086.84 and 962.37 is: 1,444.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,057.22 : 3,086.84 = 962.37 : x
  2. Step 2: Convert to fraction form
    2,057.22/3,086.84 = 962.37/x
  3. Step 3: Cross multiply
    2,057.22x = 3,086.84 × 962.37
  4. Step 4: Simplify right side
    2,057.22x = 2,970,682.21
  5. Step 5: Solve for x
    x = 2,970,682.21/2,057.22
  6. Step 6: Final answer
    x = 1,444.03

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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.