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Finding the Fourth Proportional to 2,226.18, 3,343.07 and 1,855.61

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Solution

The fourth proportional to 2,226.18, 3,343.07 and 1,855.61 is: 2,786.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,226.18 : 3,343.07 = 1,855.61 : x
  2. Step 2: Convert to fraction form
    2,226.18/3,343.07 = 1,855.61/x
  3. Step 3: Cross multiply
    2,226.18x = 3,343.07 × 1,855.61
  4. Step 4: Simplify right side
    2,226.18x = 6,203,434.58
  5. Step 5: Solve for x
    x = 6,203,434.58/2,226.18
  6. Step 6: Final answer
    x = 2,786.58

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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.