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Finding the Fourth Proportional to 2,273.98, 3,138.18 and 1,279.24

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Solution

The fourth proportional to 2,273.98, 3,138.18 and 1,279.24 is: 1,765.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,273.98 : 3,138.18 = 1,279.24 : x
  2. Step 2: Convert to fraction form
    2,273.98/3,138.18 = 1,279.24/x
  3. Step 3: Cross multiply
    2,273.98x = 3,138.18 × 1,279.24
  4. Step 4: Simplify right side
    2,273.98x = 4,014,485.38
  5. Step 5: Solve for x
    x = 4,014,485.38/2,273.98
  6. Step 6: Final answer
    x = 1,765.40

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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.