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Finding the Fourth Proportional to 2,314.62, 3,469.82 and 927.72

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Solution

The fourth proportional to 2,314.62, 3,469.82 and 927.72 is: 1,390.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,314.62 : 3,469.82 = 927.72 : x
  2. Step 2: Convert to fraction form
    2,314.62/3,469.82 = 927.72/x
  3. Step 3: Cross multiply
    2,314.62x = 3,469.82 × 927.72
  4. Step 4: Simplify right side
    2,314.62x = 3,219,016.77
  5. Step 5: Solve for x
    x = 3,219,016.77/2,314.62
  6. Step 6: Final answer
    x = 1,390.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.