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Finding the Fourth Proportional to 2,306.85, 3,183.05 and 1,520.44

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Solution

The fourth proportional to 2,306.85, 3,183.05 and 1,520.44 is: 2,097.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,306.85 : 3,183.05 = 1,520.44 : x
  2. Step 2: Convert to fraction form
    2,306.85/3,183.05 = 1,520.44/x
  3. Step 3: Cross multiply
    2,306.85x = 3,183.05 × 1,520.44
  4. Step 4: Simplify right side
    2,306.85x = 4,839,623.83
  5. Step 5: Solve for x
    x = 4,839,623.83/2,306.85
  6. Step 6: Final answer
    x = 2,097.94

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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.