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Finding the Fourth Proportional to 2,231.84, 3,079.86 and 1,446.68

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Solution

The fourth proportional to 2,231.84, 3,079.86 and 1,446.68 is: 1,996.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,231.84 : 3,079.86 = 1,446.68 : x
  2. Step 2: Convert to fraction form
    2,231.84/3,079.86 = 1,446.68/x
  3. Step 3: Cross multiply
    2,231.84x = 3,079.86 × 1,446.68
  4. Step 4: Simplify right side
    2,231.84x = 4,455,571.86
  5. Step 5: Solve for x
    x = 4,455,571.86/2,231.84
  6. Step 6: Final answer
    x = 1,996.37

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Why These Related Problems?

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