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Finding the Fourth Proportional to 2,692.26, 4,038.38 and 843.51

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Solution

The fourth proportional to 2,692.26, 4,038.38 and 843.51 is: 1,265.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,692.26 : 4,038.38 = 843.51 : x
  2. Step 2: Convert to fraction form
    2,692.26/4,038.38 = 843.51/x
  3. Step 3: Cross multiply
    2,692.26x = 4,038.38 × 843.51
  4. Step 4: Simplify right side
    2,692.26x = 3,406,430.38
  5. Step 5: Solve for x
    x = 3,406,430.38/2,692.26
  6. Step 6: Final answer
    x = 1,265.27

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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.