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Finding the Fourth Proportional to 3,273.28, 4,910.73 and 1,541.50

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Solution

The fourth proportional to 3,273.28, 4,910.73 and 1,541.50 is: 2,312.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,273.28 : 4,910.73 = 1,541.50 : x
  2. Step 2: Convert to fraction form
    3,273.28/4,910.73 = 1,541.50/x
  3. Step 3: Cross multiply
    3,273.28x = 4,910.73 × 1,541.50
  4. Step 4: Simplify right side
    3,273.28x = 7,569,890.30
  5. Step 5: Solve for x
    x = 7,569,890.30/3,273.28
  6. Step 6: Final answer
    x = 2,312.63

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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.