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Finding the Fourth Proportional to 2,311.83, 3,470.21 and 996.23

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Solution

The fourth proportional to 2,311.83, 3,470.21 and 996.23 is: 1,495.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,311.83 : 3,470.21 = 996.23 : x
  2. Step 2: Convert to fraction form
    2,311.83/3,470.21 = 996.23/x
  3. Step 3: Cross multiply
    2,311.83x = 3,470.21 × 996.23
  4. Step 4: Simplify right side
    2,311.83x = 3,457,127.31
  5. Step 5: Solve for x
    x = 3,457,127.31/2,311.83
  6. Step 6: Final answer
    x = 1,495.41

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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.