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Finding the Fourth Proportional to 2,727.41, 3,762.92 and 1,664.79

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Solution

The fourth proportional to 2,727.41, 3,762.92 and 1,664.79 is: 2,296.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,727.41 : 3,762.92 = 1,664.79 : x
  2. Step 2: Convert to fraction form
    2,727.41/3,762.92 = 1,664.79/x
  3. Step 3: Cross multiply
    2,727.41x = 3,762.92 × 1,664.79
  4. Step 4: Simplify right side
    2,727.41x = 6,264,470.49
  5. Step 5: Solve for x
    x = 6,264,470.49/2,727.41
  6. Step 6: Final answer
    x = 2,296.86

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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.