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Finding the Fourth Proportional to 2,759.26, 4,138.65 and 910.33

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Solution

The fourth proportional to 2,759.26, 4,138.65 and 910.33 is: 1,365.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,759.26 : 4,138.65 = 910.33 : x
  2. Step 2: Convert to fraction form
    2,759.26/4,138.65 = 910.33/x
  3. Step 3: Cross multiply
    2,759.26x = 4,138.65 × 910.33
  4. Step 4: Simplify right side
    2,759.26x = 3,767,537.25
  5. Step 5: Solve for x
    x = 3,767,537.25/2,759.26
  6. Step 6: Final answer
    x = 1,365.42

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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.