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Finding the Fourth Proportional to 2,093.78, 3,140.07 and 844.37

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Solution

The fourth proportional to 2,093.78, 3,140.07 and 844.37 is: 1,266.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,093.78 : 3,140.07 = 844.37 : x
  2. Step 2: Convert to fraction form
    2,093.78/3,140.07 = 844.37/x
  3. Step 3: Cross multiply
    2,093.78x = 3,140.07 × 844.37
  4. Step 4: Simplify right side
    2,093.78x = 2,651,380.91
  5. Step 5: Solve for x
    x = 2,651,380.91/2,093.78
  6. Step 6: Final answer
    x = 1,266.31

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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.