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Finding the Fourth Proportional to 2,692.83, 4,039.56 and 843.92

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Solution

The fourth proportional to 2,692.83, 4,039.56 and 843.92 is: 1,265.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,692.83 : 4,039.56 = 843.92 : x
  2. Step 2: Convert to fraction form
    2,692.83/4,039.56 = 843.92/x
  3. Step 3: Cross multiply
    2,692.83x = 4,039.56 × 843.92
  4. Step 4: Simplify right side
    2,692.83x = 3,409,045.28
  5. Step 5: Solve for x
    x = 3,409,045.28/2,692.83
  6. Step 6: Final answer
    x = 1,265.97

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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.