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Finding the Fourth Proportional to 1,692.72, 2,537.46 and 1,074.89

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Solution

The fourth proportional to 1,692.72, 2,537.46 and 1,074.89 is: 1,611.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,692.72 : 2,537.46 = 1,074.89 : x
  2. Step 2: Convert to fraction form
    1,692.72/2,537.46 = 1,074.89/x
  3. Step 3: Cross multiply
    1,692.72x = 2,537.46 × 1,074.89
  4. Step 4: Simplify right side
    1,692.72x = 2,727,496.72
  5. Step 5: Solve for x
    x = 2,727,496.72/1,692.72
  6. Step 6: Final answer
    x = 1,611.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.