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Finding the Fourth Proportional to 2,722.84, 4,084.17 and 1,183.84

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Solution

The fourth proportional to 2,722.84, 4,084.17 and 1,183.84 is: 1,775.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,722.84 : 4,084.17 = 1,183.84 : x
  2. Step 2: Convert to fraction form
    2,722.84/4,084.17 = 1,183.84/x
  3. Step 3: Cross multiply
    2,722.84x = 4,084.17 × 1,183.84
  4. Step 4: Simplify right side
    2,722.84x = 4,835,003.81
  5. Step 5: Solve for x
    x = 4,835,003.81/2,722.84
  6. Step 6: Final answer
    x = 1,775.72

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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.