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Finding the Fourth Proportional to 2,728.41, 3,762.22 and 1,842.67

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Solution

The fourth proportional to 2,728.41, 3,762.22 and 1,842.67 is: 2,540.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,728.41 : 3,762.22 = 1,842.67 : x
  2. Step 2: Convert to fraction form
    2,728.41/3,762.22 = 1,842.67/x
  3. Step 3: Cross multiply
    2,728.41x = 3,762.22 × 1,842.67
  4. Step 4: Simplify right side
    2,728.41x = 6,932,520.71
  5. Step 5: Solve for x
    x = 6,932,520.71/2,728.41
  6. Step 6: Final answer
    x = 2,540.87

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