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Finding the Fourth Proportional to 2,129.43, 3,194.46 and 1,033.86

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Solution

The fourth proportional to 2,129.43, 3,194.46 and 1,033.86 is: 1,550.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,129.43 : 3,194.46 = 1,033.86 : x
  2. Step 2: Convert to fraction form
    2,129.43/3,194.46 = 1,033.86/x
  3. Step 3: Cross multiply
    2,129.43x = 3,194.46 × 1,033.86
  4. Step 4: Simplify right side
    2,129.43x = 3,302,624.42
  5. Step 5: Solve for x
    x = 3,302,624.42/2,129.43
  6. Step 6: Final answer
    x = 1,550.94

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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.