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Finding the Fourth Proportional to 2,173.26, 3,260.49 and 857.34

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Solution

The fourth proportional to 2,173.26, 3,260.49 and 857.34 is: 1,286.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,173.26 : 3,260.49 = 857.34 : x
  2. Step 2: Convert to fraction form
    2,173.26/3,260.49 = 857.34/x
  3. Step 3: Cross multiply
    2,173.26x = 3,260.49 × 857.34
  4. Step 4: Simplify right side
    2,173.26x = 2,795,348.50
  5. Step 5: Solve for x
    x = 2,795,348.50/2,173.26
  6. Step 6: Final answer
    x = 1,286.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.