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Finding the Fourth Proportional to 2,728.50, 4,093.02 and 1,084.68

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Solution

The fourth proportional to 2,728.50, 4,093.02 and 1,084.68 is: 1,627.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,728.50 : 4,093.02 = 1,084.68 : x
  2. Step 2: Convert to fraction form
    2,728.50/4,093.02 = 1,084.68/x
  3. Step 3: Cross multiply
    2,728.50x = 4,093.02 × 1,084.68
  4. Step 4: Simplify right side
    2,728.50x = 4,439,616.93
  5. Step 5: Solve for x
    x = 4,439,616.93/2,728.50
  6. Step 6: Final answer
    x = 1,627.13

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Why These Related Problems?

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