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Finding the Fourth Proportional to 2,063.54, 3,093.69 and 747.09

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Solution

The fourth proportional to 2,063.54, 3,093.69 and 747.09 is: 1,120.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,063.54 : 3,093.69 = 747.09 : x
  2. Step 2: Convert to fraction form
    2,063.54/3,093.69 = 747.09/x
  3. Step 3: Cross multiply
    2,063.54x = 3,093.69 × 747.09
  4. Step 4: Simplify right side
    2,063.54x = 2,311,257.13
  5. Step 5: Solve for x
    x = 2,311,257.13/2,063.54
  6. Step 6: Final answer
    x = 1,120.04

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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.