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Finding the Fourth Proportional to 2,692.50, 4,039.20 and 843.34

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Solution

The fourth proportional to 2,692.50, 4,039.20 and 843.34 is: 1,265.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,692.50 : 4,039.20 = 843.34 : x
  2. Step 2: Convert to fraction form
    2,692.50/4,039.20 = 843.34/x
  3. Step 3: Cross multiply
    2,692.50x = 4,039.20 × 843.34
  4. Step 4: Simplify right side
    2,692.50x = 3,406,418.93
  5. Step 5: Solve for x
    x = 3,406,418.93/2,692.50
  6. Step 6: Final answer
    x = 1,265.15

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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.