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Finding the Fourth Proportional to 2,057.26, 3,085.90 and 596.50

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Solution

The fourth proportional to 2,057.26, 3,085.90 and 596.50 is: 894.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,057.26 : 3,085.90 = 596.50 : x
  2. Step 2: Convert to fraction form
    2,057.26/3,085.90 = 596.50/x
  3. Step 3: Cross multiply
    2,057.26x = 3,085.90 × 596.50
  4. Step 4: Simplify right side
    2,057.26x = 1,840,739.35
  5. Step 5: Solve for x
    x = 1,840,739.35/2,057.26
  6. Step 6: Final answer
    x = 894.75

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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.