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Finding the Fourth Proportional to 3,289.73, 4,933.97 and 1,440.50

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Solution

The fourth proportional to 3,289.73, 4,933.97 and 1,440.50 is: 2,160.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,289.73 : 4,933.97 = 1,440.50 : x
  2. Step 2: Convert to fraction form
    3,289.73/4,933.97 = 1,440.50/x
  3. Step 3: Cross multiply
    3,289.73x = 4,933.97 × 1,440.50
  4. Step 4: Simplify right side
    3,289.73x = 7,107,362.72
  5. Step 5: Solve for x
    x = 7,107,362.72/3,289.73
  6. Step 6: Final answer
    x = 2,160.47

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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.