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Finding the Fourth Proportional to 2,978, 4,109.64 and 1,736.24

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Solution

The fourth proportional to 2,978, 4,109.64 and 1,736.24 is: 2,396.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,978 : 4,109.64 = 1,736.24 : x
  2. Step 2: Convert to fraction form
    2,978/4,109.64 = 1,736.24/x
  3. Step 3: Cross multiply
    2,978x = 4,109.64 × 1,736.24
  4. Step 4: Simplify right side
    2,978x = 7,135,321.35
  5. Step 5: Solve for x
    x = 7,135,321.35/2,978
  6. Step 6: Final answer
    x = 2,396.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.