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Finding the Fourth Proportional to 2,126.85, 3,190.68 and 827.61

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Solution

The fourth proportional to 2,126.85, 3,190.68 and 827.61 is: 1,241.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,126.85 : 3,190.68 = 827.61 : x
  2. Step 2: Convert to fraction form
    2,126.85/3,190.68 = 827.61/x
  3. Step 3: Cross multiply
    2,126.85x = 3,190.68 × 827.61
  4. Step 4: Simplify right side
    2,126.85x = 2,640,638.67
  5. Step 5: Solve for x
    x = 2,640,638.67/2,126.85
  6. Step 6: Final answer
    x = 1,241.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.