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Finding the Fourth Proportional to 2,057.27, 3,085.70 and 596.39

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Solution

The fourth proportional to 2,057.27, 3,085.70 and 596.39 is: 894.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,057.27 : 3,085.70 = 596.39 : x
  2. Step 2: Convert to fraction form
    2,057.27/3,085.70 = 596.39/x
  3. Step 3: Cross multiply
    2,057.27x = 3,085.70 × 596.39
  4. Step 4: Simplify right side
    2,057.27x = 1,840,262.21
  5. Step 5: Solve for x
    x = 1,840,262.21/2,057.27
  6. Step 6: Final answer
    x = 894.52

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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.