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Finding the Fourth Proportional to 1,718.26, 2,576.23 and 793.31

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Solution

The fourth proportional to 1,718.26, 2,576.23 and 793.31 is: 1,189.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,718.26 : 2,576.23 = 793.31 : x
  2. Step 2: Convert to fraction form
    1,718.26/2,576.23 = 793.31/x
  3. Step 3: Cross multiply
    1,718.26x = 2,576.23 × 793.31
  4. Step 4: Simplify right side
    1,718.26x = 2,043,736.14
  5. Step 5: Solve for x
    x = 2,043,736.14/1,718.26
  6. Step 6: Final answer
    x = 1,189.43

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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.