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Finding the Fourth Proportional to 2,667.84, 3,675.72 and 1,992.72

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Solution

The fourth proportional to 2,667.84, 3,675.72 and 1,992.72 is: 2,745.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,667.84 : 3,675.72 = 1,992.72 : x
  2. Step 2: Convert to fraction form
    2,667.84/3,675.72 = 1,992.72/x
  3. Step 3: Cross multiply
    2,667.84x = 3,675.72 × 1,992.72
  4. Step 4: Simplify right side
    2,667.84x = 7,324,680.76
  5. Step 5: Solve for x
    x = 7,324,680.76/2,667.84
  6. Step 6: Final answer
    x = 2,745.55

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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.