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Finding the Fourth Proportional to 2,692.20, 3,715.27 and 1,644.27

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Solution

The fourth proportional to 2,692.20, 3,715.27 and 1,644.27 is: 2,269.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,692.20 : 3,715.27 = 1,644.27 : x
  2. Step 2: Convert to fraction form
    2,692.20/3,715.27 = 1,644.27/x
  3. Step 3: Cross multiply
    2,692.20x = 3,715.27 × 1,644.27
  4. Step 4: Simplify right side
    2,692.20x = 6,108,888.96
  5. Step 5: Solve for x
    x = 6,108,888.96/2,692.20
  6. Step 6: Final answer
    x = 2,269.10

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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.