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Finding the Fourth Proportional to 2,193.33, 3,289.99 and 960.41

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Solution

The fourth proportional to 2,193.33, 3,289.99 and 960.41 is: 1,440.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,193.33 : 3,289.99 = 960.41 : x
  2. Step 2: Convert to fraction form
    2,193.33/3,289.99 = 960.41/x
  3. Step 3: Cross multiply
    2,193.33x = 3,289.99 × 960.41
  4. Step 4: Simplify right side
    2,193.33x = 3,159,734.49
  5. Step 5: Solve for x
    x = 3,159,734.49/2,193.33
  6. Step 6: Final answer
    x = 1,440.61

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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.