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Finding the Fourth Proportional to 1,966.35, 2,949.73 and 733.43

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Solution

The fourth proportional to 1,966.35, 2,949.73 and 733.43 is: 1,100.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,966.35 : 2,949.73 = 733.43 : x
  2. Step 2: Convert to fraction form
    1,966.35/2,949.73 = 733.43/x
  3. Step 3: Cross multiply
    1,966.35x = 2,949.73 × 733.43
  4. Step 4: Simplify right side
    1,966.35x = 2,163,426.01
  5. Step 5: Solve for x
    x = 2,163,426.01/1,966.35
  6. Step 6: Final answer
    x = 1,100.22

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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.