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Finding the Fourth Proportional to 3,286.14, 4,929.26 and 1,094.88

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Solution

The fourth proportional to 3,286.14, 4,929.26 and 1,094.88 is: 1,642.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,286.14 : 4,929.26 = 1,094.88 : x
  2. Step 2: Convert to fraction form
    3,286.14/4,929.26 = 1,094.88/x
  3. Step 3: Cross multiply
    3,286.14x = 4,929.26 × 1,094.88
  4. Step 4: Simplify right side
    3,286.14x = 5,396,948.19
  5. Step 5: Solve for x
    x = 5,396,948.19/3,286.14
  6. Step 6: Final answer
    x = 1,642.34

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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.