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Finding the Fourth Proportional to 2,668.98, 3,679.34 and 2,072.28

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Solution

The fourth proportional to 2,668.98, 3,679.34 and 2,072.28 is: 2,856.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,668.98 : 3,679.34 = 2,072.28 : x
  2. Step 2: Convert to fraction form
    2,668.98/3,679.34 = 2,072.28/x
  3. Step 3: Cross multiply
    2,668.98x = 3,679.34 × 2,072.28
  4. Step 4: Simplify right side
    2,668.98x = 7,624,622.70
  5. Step 5: Solve for x
    x = 7,624,622.70/2,668.98
  6. Step 6: Final answer
    x = 2,856.76

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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.