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Finding the Fourth Proportional to 2,126.08, 3,189.72 and 827.92

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Solution

The fourth proportional to 2,126.08, 3,189.72 and 827.92 is: 1,242.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,126.08 : 3,189.72 = 827.92 : x
  2. Step 2: Convert to fraction form
    2,126.08/3,189.72 = 827.92/x
  3. Step 3: Cross multiply
    2,126.08x = 3,189.72 × 827.92
  4. Step 4: Simplify right side
    2,126.08x = 2,640,832.98
  5. Step 5: Solve for x
    x = 2,640,832.98/2,126.08
  6. Step 6: Final answer
    x = 1,242.11

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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.