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Finding the Fourth Proportional to 1,520.31, 2,098.11 and 857.24

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Solution

The fourth proportional to 1,520.31, 2,098.11 and 857.24 is: 1,183.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,520.31 : 2,098.11 = 857.24 : x
  2. Step 2: Convert to fraction form
    1,520.31/2,098.11 = 857.24/x
  3. Step 3: Cross multiply
    1,520.31x = 2,098.11 × 857.24
  4. Step 4: Simplify right side
    1,520.31x = 1,798,573.33
  5. Step 5: Solve for x
    x = 1,798,573.33/1,520.31
  6. Step 6: Final answer
    x = 1,183.03

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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.