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Finding the Fourth Proportional to 2,942.34, 4,409.37 and 2,323.32

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Solution

The fourth proportional to 2,942.34, 4,409.37 and 2,323.32 is: 3,481.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,942.34 : 4,409.37 = 2,323.32 : x
  2. Step 2: Convert to fraction form
    2,942.34/4,409.37 = 2,323.32/x
  3. Step 3: Cross multiply
    2,942.34x = 4,409.37 × 2,323.32
  4. Step 4: Simplify right side
    2,942.34x = 10,244,377.51
  5. Step 5: Solve for x
    x = 10,244,377.51/2,942.34
  6. Step 6: Final answer
    x = 3,481.71

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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.