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Finding the Fourth Proportional to 2,260.85, 3,097.41 and 2,173.37

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Solution

The fourth proportional to 2,260.85, 3,097.41 and 2,173.37 is: 2,977.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,260.85 : 3,097.41 = 2,173.37 : x
  2. Step 2: Convert to fraction form
    2,260.85/3,097.41 = 2,173.37/x
  3. Step 3: Cross multiply
    2,260.85x = 3,097.41 × 2,173.37
  4. Step 4: Simplify right side
    2,260.85x = 6,731,794.33
  5. Step 5: Solve for x
    x = 6,731,794.33/2,260.85
  6. Step 6: Final answer
    x = 2,977.56

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.