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Finding the Fourth Proportional to 2,675.34, 3,687.26 and 2,256.77

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Solution

The fourth proportional to 2,675.34, 3,687.26 and 2,256.77 is: 3,110.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,675.34 : 3,687.26 = 2,256.77 : x
  2. Step 2: Convert to fraction form
    2,675.34/3,687.26 = 2,256.77/x
  3. Step 3: Cross multiply
    2,675.34x = 3,687.26 × 2,256.77
  4. Step 4: Simplify right side
    2,675.34x = 8,321,295.68
  5. Step 5: Solve for x
    x = 8,321,295.68/2,675.34
  6. Step 6: Final answer
    x = 3,110.37

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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.