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Finding the Fourth Proportional to 2,057.38, 3,086.46 and 670.60

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Solution

The fourth proportional to 2,057.38, 3,086.46 and 670.60 is: 1,006.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,057.38 : 3,086.46 = 670.60 : x
  2. Step 2: Convert to fraction form
    2,057.38/3,086.46 = 670.60/x
  3. Step 3: Cross multiply
    2,057.38x = 3,086.46 × 670.60
  4. Step 4: Simplify right side
    2,057.38x = 2,069,780.08
  5. Step 5: Solve for x
    x = 2,069,780.08/2,057.38
  6. Step 6: Final answer
    x = 1,006.03

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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.