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Finding the Fourth Proportional to 2,091.06, 3,134.97 and 936

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Solution

The fourth proportional to 2,091.06, 3,134.97 and 936 is: 1,403.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,091.06 : 3,134.97 = 936 : x
  2. Step 2: Convert to fraction form
    2,091.06/3,134.97 = 936/x
  3. Step 3: Cross multiply
    2,091.06x = 3,134.97 × 936
  4. Step 4: Simplify right side
    2,091.06x = 2,934,331.92
  5. Step 5: Solve for x
    x = 2,934,331.92/2,091.06
  6. Step 6: Final answer
    x = 1,403.27

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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.