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Finding the Fourth Proportional to 3,076.56, 4,245.96 and 1,834.56

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Solution

The fourth proportional to 3,076.56, 4,245.96 and 1,834.56 is: 2,531.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,076.56 : 4,245.96 = 1,834.56 : x
  2. Step 2: Convert to fraction form
    3,076.56/4,245.96 = 1,834.56/x
  3. Step 3: Cross multiply
    3,076.56x = 4,245.96 × 1,834.56
  4. Step 4: Simplify right side
    3,076.56x = 7,789,468.38
  5. Step 5: Solve for x
    x = 7,789,468.38/3,076.56
  6. Step 6: Final answer
    x = 2,531.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.