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Finding the Fourth Proportional to 2,834.25, 3,911.31 and 1,592.25

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Solution

The fourth proportional to 2,834.25, 3,911.31 and 1,592.25 is: 2,197.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,834.25 : 3,911.31 = 1,592.25 : x
  2. Step 2: Convert to fraction form
    2,834.25/3,911.31 = 1,592.25/x
  3. Step 3: Cross multiply
    2,834.25x = 3,911.31 × 1,592.25
  4. Step 4: Simplify right side
    2,834.25x = 6,227,783.35
  5. Step 5: Solve for x
    x = 6,227,783.35/2,834.25
  6. Step 6: Final answer
    x = 2,197.33

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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.