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Finding the Fourth Proportional to 1,897, 2,847.12 and 743.56

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Solution

The fourth proportional to 1,897, 2,847.12 and 743.56 is: 1,115.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,897 : 2,847.12 = 743.56 : x
  2. Step 2: Convert to fraction form
    1,897/2,847.12 = 743.56/x
  3. Step 3: Cross multiply
    1,897x = 2,847.12 × 743.56
  4. Step 4: Simplify right side
    1,897x = 2,117,004.55
  5. Step 5: Solve for x
    x = 2,117,004.55/1,897
  6. Step 6: Final answer
    x = 1,115.97

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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.