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Finding the Fourth Proportional to 2,667.96, 3,679.97 and 1,605.24

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Solution

The fourth proportional to 2,667.96, 3,679.97 and 1,605.24 is: 2,214.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,667.96 : 3,679.97 = 1,605.24 : x
  2. Step 2: Convert to fraction form
    2,667.96/3,679.97 = 1,605.24/x
  3. Step 3: Cross multiply
    2,667.96x = 3,679.97 × 1,605.24
  4. Step 4: Simplify right side
    2,667.96x = 5,907,227.02
  5. Step 5: Solve for x
    x = 5,907,227.02/2,667.96
  6. Step 6: Final answer
    x = 2,214.14

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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.