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Finding the Fourth Proportional to 2,834.59, 3,906.61 and 2,362.56

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Solution

The fourth proportional to 2,834.59, 3,906.61 and 2,362.56 is: 3,256.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,834.59 : 3,906.61 = 2,362.56 : x
  2. Step 2: Convert to fraction form
    2,834.59/3,906.61 = 2,362.56/x
  3. Step 3: Cross multiply
    2,834.59x = 3,906.61 × 2,362.56
  4. Step 4: Simplify right side
    2,834.59x = 9,229,600.52
  5. Step 5: Solve for x
    x = 9,229,600.52/2,834.59
  6. Step 6: Final answer
    x = 3,256.06

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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.