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Finding the Fourth Proportional to 2,978.25, 4,110 and 1,736.25

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Solution

The fourth proportional to 2,978.25, 4,110 and 1,736.25 is: 2,396.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,978.25 : 4,110 = 1,736.25 : x
  2. Step 2: Convert to fraction form
    2,978.25/4,110 = 1,736.25/x
  3. Step 3: Cross multiply
    2,978.25x = 4,110 × 1,736.25
  4. Step 4: Simplify right side
    2,978.25x = 7,135,987.50
  5. Step 5: Solve for x
    x = 7,135,987.50/2,978.25
  6. Step 6: Final answer
    x = 2,396.03

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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.