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Finding the Fourth Proportional to 2,057.85, 3,086.05 and 596.70

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Solution

The fourth proportional to 2,057.85, 3,086.05 and 596.70 is: 894.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,057.85 : 3,086.05 = 596.70 : x
  2. Step 2: Convert to fraction form
    2,057.85/3,086.05 = 596.70/x
  3. Step 3: Cross multiply
    2,057.85x = 3,086.05 × 596.70
  4. Step 4: Simplify right side
    2,057.85x = 1,841,446.04
  5. Step 5: Solve for x
    x = 1,841,446.04/2,057.85
  6. Step 6: Final answer
    x = 894.84

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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.