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Finding the Fourth Proportional to 2,632.68, 3,633.89 and 1,571.22

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Solution

The fourth proportional to 2,632.68, 3,633.89 and 1,571.22 is: 2,168.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,632.68 : 3,633.89 = 1,571.22 : x
  2. Step 2: Convert to fraction form
    2,632.68/3,633.89 = 1,571.22/x
  3. Step 3: Cross multiply
    2,632.68x = 3,633.89 × 1,571.22
  4. Step 4: Simplify right side
    2,632.68x = 5,709,632.79
  5. Step 5: Solve for x
    x = 5,709,632.79/2,632.68
  6. Step 6: Final answer
    x = 2,168.75

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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.