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Finding the Fourth Proportional to 1,520.88, 2,098.99 and 857.87

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Solution

The fourth proportional to 1,520.88, 2,098.99 and 857.87 is: 1,183.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,520.88 : 2,098.99 = 857.87 : x
  2. Step 2: Convert to fraction form
    1,520.88/2,098.99 = 857.87/x
  3. Step 3: Cross multiply
    1,520.88x = 2,098.99 × 857.87
  4. Step 4: Simplify right side
    1,520.88x = 1,800,650.68
  5. Step 5: Solve for x
    x = 1,800,650.68/1,520.88
  6. Step 6: Final answer
    x = 1,183.96

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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.