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Finding the Fourth Proportional to 2,057.62, 3,086.41 and 596.77

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Solution

The fourth proportional to 2,057.62, 3,086.41 and 596.77 is: 895.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,057.62 : 3,086.41 = 596.77 : x
  2. Step 2: Convert to fraction form
    2,057.62/3,086.41 = 596.77/x
  3. Step 3: Cross multiply
    2,057.62x = 3,086.41 × 596.77
  4. Step 4: Simplify right side
    2,057.62x = 1,841,876.90
  5. Step 5: Solve for x
    x = 1,841,876.90/2,057.62
  6. Step 6: Final answer
    x = 895.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.