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Finding the Fourth Proportional to 3,077.70, 4,614.72 and 1,844.34

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Solution

The fourth proportional to 3,077.70, 4,614.72 and 1,844.34 is: 2,765.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,077.70 : 4,614.72 = 1,844.34 : x
  2. Step 2: Convert to fraction form
    3,077.70/4,614.72 = 1,844.34/x
  3. Step 3: Cross multiply
    3,077.70x = 4,614.72 × 1,844.34
  4. Step 4: Simplify right side
    3,077.70x = 8,511,112.68
  5. Step 5: Solve for x
    x = 8,511,112.68/3,077.70
  6. Step 6: Final answer
    x = 2,765.41

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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.