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Finding the Fourth Proportional to 2,692.26, 3,715.41 and 1,630.23

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Solution

The fourth proportional to 2,692.26, 3,715.41 and 1,630.23 is: 2,249.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,692.26 : 3,715.41 = 1,630.23 : x
  2. Step 2: Convert to fraction form
    2,692.26/3,715.41 = 1,630.23/x
  3. Step 3: Cross multiply
    2,692.26x = 3,715.41 × 1,630.23
  4. Step 4: Simplify right side
    2,692.26x = 6,056,972.84
  5. Step 5: Solve for x
    x = 6,056,972.84/2,692.26
  6. Step 6: Final answer
    x = 2,249.77

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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.