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Finding the Fourth Proportional to 2,632.89, 3,950.01 and 1,171.68

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Solution

The fourth proportional to 2,632.89, 3,950.01 and 1,171.68 is: 1,757.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,632.89 : 3,950.01 = 1,171.68 : x
  2. Step 2: Convert to fraction form
    2,632.89/3,950.01 = 1,171.68/x
  3. Step 3: Cross multiply
    2,632.89x = 3,950.01 × 1,171.68
  4. Step 4: Simplify right side
    2,632.89x = 4,628,147.72
  5. Step 5: Solve for x
    x = 4,628,147.72/2,632.89
  6. Step 6: Final answer
    x = 1,757.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.