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Finding the Fourth Proportional to 1,966, 2,947.92 and 733.12

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Solution

The fourth proportional to 1,966, 2,947.92 and 733.12 is: 1,099.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,966 : 2,947.92 = 733.12 : x
  2. Step 2: Convert to fraction form
    1,966/2,947.92 = 733.12/x
  3. Step 3: Cross multiply
    1,966x = 2,947.92 × 733.12
  4. Step 4: Simplify right side
    1,966x = 2,161,179.11
  5. Step 5: Solve for x
    x = 2,161,179.11/1,966
  6. Step 6: Final answer
    x = 1,099.28

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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.