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Finding the Fourth Proportional to 2,834, 3,911.16 and 1,592.24

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Solution

The fourth proportional to 2,834, 3,911.16 and 1,592.24 is: 2,197.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,834 : 3,911.16 = 1,592.24 : x
  2. Step 2: Convert to fraction form
    2,834/3,911.16 = 1,592.24/x
  3. Step 3: Cross multiply
    2,834x = 3,911.16 × 1,592.24
  4. Step 4: Simplify right side
    2,834x = 6,227,505.40
  5. Step 5: Solve for x
    x = 6,227,505.40/2,834
  6. Step 6: Final answer
    x = 2,197.43

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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.