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Finding the Fourth Proportional to 2,727.27, 3,762.86 and 1,679.67

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Solution

The fourth proportional to 2,727.27, 3,762.86 and 1,679.67 is: 2,317.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,727.27 : 3,762.86 = 1,679.67 : x
  2. Step 2: Convert to fraction form
    2,727.27/3,762.86 = 1,679.67/x
  3. Step 3: Cross multiply
    2,727.27x = 3,762.86 × 1,679.67
  4. Step 4: Simplify right side
    2,727.27x = 6,320,354.66
  5. Step 5: Solve for x
    x = 6,320,354.66/2,727.27
  6. Step 6: Final answer
    x = 2,317.47

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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.