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Finding the Fourth Proportional to 2,052.86, 3,079.26 and 513.86

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Solution

The fourth proportional to 2,052.86, 3,079.26 and 513.86 is: 770.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,052.86 : 3,079.26 = 513.86 : x
  2. Step 2: Convert to fraction form
    2,052.86/3,079.26 = 513.86/x
  3. Step 3: Cross multiply
    2,052.86x = 3,079.26 × 513.86
  4. Step 4: Simplify right side
    2,052.86x = 1,582,308.54
  5. Step 5: Solve for x
    x = 1,582,308.54/2,052.86
  6. Step 6: Final answer
    x = 770.78

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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.