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Finding the Fourth Proportional to 2,109.88, 3,164.84 and 812.26

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Solution

The fourth proportional to 2,109.88, 3,164.84 and 812.26 is: 1,218.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,109.88 : 3,164.84 = 812.26 : x
  2. Step 2: Convert to fraction form
    2,109.88/3,164.84 = 812.26/x
  3. Step 3: Cross multiply
    2,109.88x = 3,164.84 × 812.26
  4. Step 4: Simplify right side
    2,109.88x = 2,570,653.05
  5. Step 5: Solve for x
    x = 2,570,653.05/2,109.88
  6. Step 6: Final answer
    x = 1,218.39

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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.