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Finding the Fourth Proportional to 1,093.26, 1,636.64 and 1,091.82

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Solution

The fourth proportional to 1,093.26, 1,636.64 and 1,091.82 is: 1,634.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,093.26 : 1,636.64 = 1,091.82 : x
  2. Step 2: Convert to fraction form
    1,093.26/1,636.64 = 1,091.82/x
  3. Step 3: Cross multiply
    1,093.26x = 1,636.64 × 1,091.82
  4. Step 4: Simplify right side
    1,093.26x = 1,786,916.28
  5. Step 5: Solve for x
    x = 1,786,916.28/1,093.26
  6. Step 6: Final answer
    x = 1,634.48

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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.