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Finding the Fourth Proportional to 2,106.44, 3,158.58 and 1,229.22

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Solution

The fourth proportional to 2,106.44, 3,158.58 and 1,229.22 is: 1,843.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106.44 : 3,158.58 = 1,229.22 : x
  2. Step 2: Convert to fraction form
    2,106.44/3,158.58 = 1,229.22/x
  3. Step 3: Cross multiply
    2,106.44x = 3,158.58 × 1,229.22
  4. Step 4: Simplify right side
    2,106.44x = 3,882,589.71
  5. Step 5: Solve for x
    x = 3,882,589.71/2,106.44
  6. Step 6: Final answer
    x = 1,843.20

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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.