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Finding the Fourth Proportional to 2,916, 4,027.36 and 1,982.88

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Solution

The fourth proportional to 2,916, 4,027.36 and 1,982.88 is: 2,738.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,916 : 4,027.36 = 1,982.88 : x
  2. Step 2: Convert to fraction form
    2,916/4,027.36 = 1,982.88/x
  3. Step 3: Cross multiply
    2,916x = 4,027.36 × 1,982.88
  4. Step 4: Simplify right side
    2,916x = 7,985,771.60
  5. Step 5: Solve for x
    x = 7,985,771.60/2,916
  6. Step 6: Final answer
    x = 2,738.60

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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.