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Finding the Fourth Proportional to 2,700.41, 3,723.49 and 2,201.50

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Solution

The fourth proportional to 2,700.41, 3,723.49 and 2,201.50 is: 3,035.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,700.41 : 3,723.49 = 2,201.50 : x
  2. Step 2: Convert to fraction form
    2,700.41/3,723.49 = 2,201.50/x
  3. Step 3: Cross multiply
    2,700.41x = 3,723.49 × 2,201.50
  4. Step 4: Simplify right side
    2,700.41x = 8,197,263.24
  5. Step 5: Solve for x
    x = 8,197,263.24/2,700.41
  6. Step 6: Final answer
    x = 3,035.56

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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.