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Finding the Fourth Proportional to 2,692.74, 3,722.66 and 2,668.14

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Solution

The fourth proportional to 2,692.74, 3,722.66 and 2,668.14 is: 3,688.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,692.74 : 3,722.66 = 2,668.14 : x
  2. Step 2: Convert to fraction form
    2,692.74/3,722.66 = 2,668.14/x
  3. Step 3: Cross multiply
    2,692.74x = 3,722.66 × 2,668.14
  4. Step 4: Simplify right side
    2,692.74x = 9,932,578.05
  5. Step 5: Solve for x
    x = 9,932,578.05/2,692.74
  6. Step 6: Final answer
    x = 3,688.65

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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.