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Finding the Fourth Proportional to 2,162.05, 3,243.09 and 928.42

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Solution

The fourth proportional to 2,162.05, 3,243.09 and 928.42 is: 1,392.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,162.05 : 3,243.09 = 928.42 : x
  2. Step 2: Convert to fraction form
    2,162.05/3,243.09 = 928.42/x
  3. Step 3: Cross multiply
    2,162.05x = 3,243.09 × 928.42
  4. Step 4: Simplify right side
    2,162.05x = 3,010,949.62
  5. Step 5: Solve for x
    x = 3,010,949.62/2,162.05
  6. Step 6: Final answer
    x = 1,392.64

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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.