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Finding the Fourth Proportional to 1,965.09, 2,947.69 and 779.09

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Solution

The fourth proportional to 1,965.09, 2,947.69 and 779.09 is: 1,168.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,965.09 : 2,947.69 = 779.09 : x
  2. Step 2: Convert to fraction form
    1,965.09/2,947.69 = 779.09/x
  3. Step 3: Cross multiply
    1,965.09x = 2,947.69 × 779.09
  4. Step 4: Simplify right side
    1,965.09x = 2,296,502.04
  5. Step 5: Solve for x
    x = 2,296,502.04/1,965.09
  6. Step 6: Final answer
    x = 1,168.65

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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.