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Finding the Fourth Proportional to 1,966.38, 2,947.52 and 733.30

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Solution

The fourth proportional to 1,966.38, 2,947.52 and 733.30 is: 1,099.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,966.38 : 2,947.52 = 733.30 : x
  2. Step 2: Convert to fraction form
    1,966.38/2,947.52 = 733.30/x
  3. Step 3: Cross multiply
    1,966.38x = 2,947.52 × 733.30
  4. Step 4: Simplify right side
    1,966.38x = 2,161,399.85
  5. Step 5: Solve for x
    x = 2,161,399.85/1,966.38
  6. Step 6: Final answer
    x = 1,099.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.