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Finding the Fourth Proportional to 2,768.10, 4,144.05 and 1,844.70

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Solution

The fourth proportional to 2,768.10, 4,144.05 and 1,844.70 is: 2,761.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,768.10 : 4,144.05 = 1,844.70 : x
  2. Step 2: Convert to fraction form
    2,768.10/4,144.05 = 1,844.70/x
  3. Step 3: Cross multiply
    2,768.10x = 4,144.05 × 1,844.70
  4. Step 4: Simplify right side
    2,768.10x = 7,644,529.04
  5. Step 5: Solve for x
    x = 7,644,529.04/2,768.10
  6. Step 6: Final answer
    x = 2,761.65

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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.