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Finding the Fourth Proportional to 2,164.08, 3,241.08 and 1,431.84

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Solution

The fourth proportional to 2,164.08, 3,241.08 and 1,431.84 is: 2,144.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,164.08 : 3,241.08 = 1,431.84 : x
  2. Step 2: Convert to fraction form
    2,164.08/3,241.08 = 1,431.84/x
  3. Step 3: Cross multiply
    2,164.08x = 3,241.08 × 1,431.84
  4. Step 4: Simplify right side
    2,164.08x = 4,640,707.99
  5. Step 5: Solve for x
    x = 4,640,707.99/2,164.08
  6. Step 6: Final answer
    x = 2,144.43

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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.