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Finding the Fourth Proportional to 2,241.76, 3,093.11 and 1,357.37

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Solution

The fourth proportional to 2,241.76, 3,093.11 and 1,357.37 is: 1,872.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,241.76 : 3,093.11 = 1,357.37 : x
  2. Step 2: Convert to fraction form
    2,241.76/3,093.11 = 1,357.37/x
  3. Step 3: Cross multiply
    2,241.76x = 3,093.11 × 1,357.37
  4. Step 4: Simplify right side
    2,241.76x = 4,198,498.11
  5. Step 5: Solve for x
    x = 4,198,498.11/2,241.76
  6. Step 6: Final answer
    x = 1,872.86

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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.