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Finding the Fourth Proportional to 1,965.15, 2,949.07 and 733.54

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Solution

The fourth proportional to 1,965.15, 2,949.07 and 733.54 is: 1,100.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,965.15 : 2,949.07 = 733.54 : x
  2. Step 2: Convert to fraction form
    1,965.15/2,949.07 = 733.54/x
  3. Step 3: Cross multiply
    1,965.15x = 2,949.07 × 733.54
  4. Step 4: Simplify right side
    1,965.15x = 2,163,260.81
  5. Step 5: Solve for x
    x = 2,163,260.81/1,965.15
  6. Step 6: Final answer
    x = 1,100.81

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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.