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Finding the Fourth Proportional to 2,700.41, 3,723.91 and 1,638.33

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Solution

The fourth proportional to 2,700.41, 3,723.91 and 1,638.33 is: 2,259.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,700.41 : 3,723.91 = 1,638.33 : x
  2. Step 2: Convert to fraction form
    2,700.41/3,723.91 = 1,638.33/x
  3. Step 3: Cross multiply
    2,700.41x = 3,723.91 × 1,638.33
  4. Step 4: Simplify right side
    2,700.41x = 6,100,975.41
  5. Step 5: Solve for x
    x = 6,100,975.41/2,700.41
  6. Step 6: Final answer
    x = 2,259.28

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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.