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Finding the Fourth Proportional to 2,311.35, 3,468.69 and 905.97

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Solution

The fourth proportional to 2,311.35, 3,468.69 and 905.97 is: 1,359.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,311.35 : 3,468.69 = 905.97 : x
  2. Step 2: Convert to fraction form
    2,311.35/3,468.69 = 905.97/x
  3. Step 3: Cross multiply
    2,311.35x = 3,468.69 × 905.97
  4. Step 4: Simplify right side
    2,311.35x = 3,142,529.08
  5. Step 5: Solve for x
    x = 3,142,529.08/2,311.35
  6. Step 6: Final answer
    x = 1,359.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.