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Finding the Fourth Proportional to 2,143.10, 3,212.97 and 845.54

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Solution

The fourth proportional to 2,143.10, 3,212.97 and 845.54 is: 1,267.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,143.10 : 3,212.97 = 845.54 : x
  2. Step 2: Convert to fraction form
    2,143.10/3,212.97 = 845.54/x
  3. Step 3: Cross multiply
    2,143.10x = 3,212.97 × 845.54
  4. Step 4: Simplify right side
    2,143.10x = 2,716,694.65
  5. Step 5: Solve for x
    x = 2,716,694.65/2,143.10
  6. Step 6: Final answer
    x = 1,267.65

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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.