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Finding the Fourth Proportional to 2,306.74, 3,183.80 and 1,362.18

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Solution

The fourth proportional to 2,306.74, 3,183.80 and 1,362.18 is: 1,880.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,306.74 : 3,183.80 = 1,362.18 : x
  2. Step 2: Convert to fraction form
    2,306.74/3,183.80 = 1,362.18/x
  3. Step 3: Cross multiply
    2,306.74x = 3,183.80 × 1,362.18
  4. Step 4: Simplify right side
    2,306.74x = 4,336,908.68
  5. Step 5: Solve for x
    x = 4,336,908.68/2,306.74
  6. Step 6: Final answer
    x = 1,880.10

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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.