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Finding the Fourth Proportional to 2,692.43, 3,717.21 and 2,135.15

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Solution

The fourth proportional to 2,692.43, 3,717.21 and 2,135.15 is: 2,947.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,692.43 : 3,717.21 = 2,135.15 : x
  2. Step 2: Convert to fraction form
    2,692.43/3,717.21 = 2,135.15/x
  3. Step 3: Cross multiply
    2,692.43x = 3,717.21 × 2,135.15
  4. Step 4: Simplify right side
    2,692.43x = 7,936,800.93
  5. Step 5: Solve for x
    x = 7,936,800.93/2,692.43
  6. Step 6: Final answer
    x = 2,947.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.