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Finding the Fourth Proportional to 2,834.20, 3,911.24 and 1,592.20

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Solution

The fourth proportional to 2,834.20, 3,911.24 and 1,592.20 is: 2,197.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,834.20 : 3,911.24 = 1,592.20 : x
  2. Step 2: Convert to fraction form
    2,834.20/3,911.24 = 1,592.20/x
  3. Step 3: Cross multiply
    2,834.20x = 3,911.24 × 1,592.20
  4. Step 4: Simplify right side
    2,834.20x = 6,227,476.33
  5. Step 5: Solve for x
    x = 6,227,476.33/2,834.20
  6. Step 6: Final answer
    x = 2,197.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.