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Finding the Fourth Proportional to 1,898.26, 2,847.24 and 857.98

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Solution

The fourth proportional to 1,898.26, 2,847.24 and 857.98 is: 1,286.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,898.26 : 2,847.24 = 857.98 : x
  2. Step 2: Convert to fraction form
    1,898.26/2,847.24 = 857.98/x
  3. Step 3: Cross multiply
    1,898.26x = 2,847.24 × 857.98
  4. Step 4: Simplify right side
    1,898.26x = 2,442,874.98
  5. Step 5: Solve for x
    x = 2,442,874.98/1,898.26
  6. Step 6: Final answer
    x = 1,286.90

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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.