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Finding the Fourth Proportional to 2,057.20, 3,086.13 and 670.22

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Solution

The fourth proportional to 2,057.20, 3,086.13 and 670.22 is: 1,005.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,057.20 : 3,086.13 = 670.22 : x
  2. Step 2: Convert to fraction form
    2,057.20/3,086.13 = 670.22/x
  3. Step 3: Cross multiply
    2,057.20x = 3,086.13 × 670.22
  4. Step 4: Simplify right side
    2,057.20x = 2,068,377.41
  5. Step 5: Solve for x
    x = 2,068,377.41/2,057.20
  6. Step 6: Final answer
    x = 1,005.43

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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.