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Finding the Fourth Proportional to 2,057.70, 3,086.54 and 518.70

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Solution

The fourth proportional to 2,057.70, 3,086.54 and 518.70 is: 778.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,057.70 : 3,086.54 = 518.70 : x
  2. Step 2: Convert to fraction form
    2,057.70/3,086.54 = 518.70/x
  3. Step 3: Cross multiply
    2,057.70x = 3,086.54 × 518.70
  4. Step 4: Simplify right side
    2,057.70x = 1,600,988.30
  5. Step 5: Solve for x
    x = 1,600,988.30/2,057.70
  6. Step 6: Final answer
    x = 778.05

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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.