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Finding the Fourth Proportional to 2,632.77, 3,950.03 and 1,171.94

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Solution

The fourth proportional to 2,632.77, 3,950.03 and 1,171.94 is: 1,758.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,632.77 : 3,950.03 = 1,171.94 : x
  2. Step 2: Convert to fraction form
    2,632.77/3,950.03 = 1,171.94/x
  3. Step 3: Cross multiply
    2,632.77x = 3,950.03 × 1,171.94
  4. Step 4: Simplify right side
    2,632.77x = 4,629,181.34
  5. Step 5: Solve for x
    x = 4,629,181.34/2,632.77
  6. Step 6: Final answer
    x = 1,758.29

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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.