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Finding the Fourth Proportional to 1,306.35, 1,948.62 and 1,183.23

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Solution

The fourth proportional to 1,306.35, 1,948.62 and 1,183.23 is: 1,764.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306.35 : 1,948.62 = 1,183.23 : x
  2. Step 2: Convert to fraction form
    1,306.35/1,948.62 = 1,183.23/x
  3. Step 3: Cross multiply
    1,306.35x = 1,948.62 × 1,183.23
  4. Step 4: Simplify right side
    1,306.35x = 2,305,665.64
  5. Step 5: Solve for x
    x = 2,305,665.64/1,306.35
  6. Step 6: Final answer
    x = 1,764.97

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.