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Finding the Fourth Proportional to 4,034.62, 6,054.26 and 1,694.42

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Solution

The fourth proportional to 4,034.62, 6,054.26 and 1,694.42 is: 2,542.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,034.62 : 6,054.26 = 1,694.42 : x
  2. Step 2: Convert to fraction form
    4,034.62/6,054.26 = 1,694.42/x
  3. Step 3: Cross multiply
    4,034.62x = 6,054.26 × 1,694.42
  4. Step 4: Simplify right side
    4,034.62x = 10,258,459.23
  5. Step 5: Solve for x
    x = 10,258,459.23/4,034.62
  6. Step 6: Final answer
    x = 2,542.61

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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.