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Finding the Fourth Proportional to 2,162.54, 3,240.76 and 1,236.71

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Solution

The fourth proportional to 2,162.54, 3,240.76 and 1,236.71 is: 1,853.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,162.54 : 3,240.76 = 1,236.71 : x
  2. Step 2: Convert to fraction form
    2,162.54/3,240.76 = 1,236.71/x
  3. Step 3: Cross multiply
    2,162.54x = 3,240.76 × 1,236.71
  4. Step 4: Simplify right side
    2,162.54x = 4,007,861.00
  5. Step 5: Solve for x
    x = 4,007,861.00/2,162.54
  6. Step 6: Final answer
    x = 1,853.32

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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.