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Finding the Fourth Proportional to 1,976.50, 2,965.07 and 744.09

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Solution

The fourth proportional to 1,976.50, 2,965.07 and 744.09 is: 1,116.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,976.50 : 2,965.07 = 744.09 : x
  2. Step 2: Convert to fraction form
    1,976.50/2,965.07 = 744.09/x
  3. Step 3: Cross multiply
    1,976.50x = 2,965.07 × 744.09
  4. Step 4: Simplify right side
    1,976.50x = 2,206,278.94
  5. Step 5: Solve for x
    x = 2,206,278.94/1,976.50
  6. Step 6: Final answer
    x = 1,116.26

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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.