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Finding the Fourth Proportional to 2,152.44, 3,226.39 and 1,226

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Solution

The fourth proportional to 2,152.44, 3,226.39 and 1,226 is: 1,837.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,152.44 : 3,226.39 = 1,226 : x
  2. Step 2: Convert to fraction form
    2,152.44/3,226.39 = 1,226/x
  3. Step 3: Cross multiply
    2,152.44x = 3,226.39 × 1,226
  4. Step 4: Simplify right side
    2,152.44x = 3,955,554.14
  5. Step 5: Solve for x
    x = 3,955,554.14/2,152.44
  6. Step 6: Final answer
    x = 1,837.71

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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.