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Finding the Fourth Proportional to 2,057.72, 3,086.10 and 670.70

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Solution

The fourth proportional to 2,057.72, 3,086.10 and 670.70 is: 1,005.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,057.72 : 3,086.10 = 670.70 : x
  2. Step 2: Convert to fraction form
    2,057.72/3,086.10 = 670.70/x
  3. Step 3: Cross multiply
    2,057.72x = 3,086.10 × 670.70
  4. Step 4: Simplify right side
    2,057.72x = 2,069,847.27
  5. Step 5: Solve for x
    x = 2,069,847.27/2,057.72
  6. Step 6: Final answer
    x = 1,005.89

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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.