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Finding the Fourth Proportional to 1,939.22, 2,908.32 and 843.33

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Solution

The fourth proportional to 1,939.22, 2,908.32 and 843.33 is: 1,264.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,939.22 : 2,908.32 = 843.33 : x
  2. Step 2: Convert to fraction form
    1,939.22/2,908.32 = 843.33/x
  3. Step 3: Cross multiply
    1,939.22x = 2,908.32 × 843.33
  4. Step 4: Simplify right side
    1,939.22x = 2,452,669.63
  5. Step 5: Solve for x
    x = 2,452,669.63/1,939.22
  6. Step 6: Final answer
    x = 1,264.77

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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.