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Finding the Fourth Proportional to 2,692.74, 4,039.31 and 843.85

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Solution

The fourth proportional to 2,692.74, 4,039.31 and 843.85 is: 1,265.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,692.74 : 4,039.31 = 843.85 : x
  2. Step 2: Convert to fraction form
    2,692.74/4,039.31 = 843.85/x
  3. Step 3: Cross multiply
    2,692.74x = 4,039.31 × 843.85
  4. Step 4: Simplify right side
    2,692.74x = 3,408,551.55
  5. Step 5: Solve for x
    x = 3,408,551.55/2,692.74
  6. Step 6: Final answer
    x = 1,265.83

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1.5x scale

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.