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Finding the Fourth Proportional to 2,692.45, 3,706.50 and 2,317.24

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Solution

The fourth proportional to 2,692.45, 3,706.50 and 2,317.24 is: 3,189.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,692.45 : 3,706.50 = 2,317.24 : x
  2. Step 2: Convert to fraction form
    2,692.45/3,706.50 = 2,317.24/x
  3. Step 3: Cross multiply
    2,692.45x = 3,706.50 × 2,317.24
  4. Step 4: Simplify right side
    2,692.45x = 8,588,850.06
  5. Step 5: Solve for x
    x = 8,588,850.06/2,692.45
  6. Step 6: Final answer
    x = 3,189.98

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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.