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Finding the Fourth Proportional to 2,076.56, 3,114.75 and 516.57

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Solution

The fourth proportional to 2,076.56, 3,114.75 and 516.57 is: 774.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,076.56 : 3,114.75 = 516.57 : x
  2. Step 2: Convert to fraction form
    2,076.56/3,114.75 = 516.57/x
  3. Step 3: Cross multiply
    2,076.56x = 3,114.75 × 516.57
  4. Step 4: Simplify right side
    2,076.56x = 1,608,986.41
  5. Step 5: Solve for x
    x = 1,608,986.41/2,076.56
  6. Step 6: Final answer
    x = 774.83

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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.