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Finding the Fourth Proportional to 2,093.82, 3,141.09 and 632.76

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Solution

The fourth proportional to 2,093.82, 3,141.09 and 632.76 is: 949.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,093.82 : 3,141.09 = 632.76 : x
  2. Step 2: Convert to fraction form
    2,093.82/3,141.09 = 632.76/x
  3. Step 3: Cross multiply
    2,093.82x = 3,141.09 × 632.76
  4. Step 4: Simplify right side
    2,093.82x = 1,987,556.11
  5. Step 5: Solve for x
    x = 1,987,556.11/2,093.82
  6. Step 6: Final answer
    x = 949.25

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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.