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Finding the Fourth Proportional to 2,013.72, 2,771.17 and 1,956.61

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Solution

The fourth proportional to 2,013.72, 2,771.17 and 1,956.61 is: 2,692.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,013.72 : 2,771.17 = 1,956.61 : x
  2. Step 2: Convert to fraction form
    2,013.72/2,771.17 = 1,956.61/x
  3. Step 3: Cross multiply
    2,013.72x = 2,771.17 × 1,956.61
  4. Step 4: Simplify right side
    2,013.72x = 5,422,098.93
  5. Step 5: Solve for x
    x = 5,422,098.93/2,013.72
  6. Step 6: Final answer
    x = 2,692.58

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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.