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Finding the Fourth Proportional to 2,162.81, 3,242.67 and 845.54

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Solution

The fourth proportional to 2,162.81, 3,242.67 and 845.54 is: 1,267.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,162.81 : 3,242.67 = 845.54 : x
  2. Step 2: Convert to fraction form
    2,162.81/3,242.67 = 845.54/x
  3. Step 3: Cross multiply
    2,162.81x = 3,242.67 × 845.54
  4. Step 4: Simplify right side
    2,162.81x = 2,741,807.19
  5. Step 5: Solve for x
    x = 2,741,807.19/2,162.81
  6. Step 6: Final answer
    x = 1,267.71

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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.