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Finding the Fourth Proportional to 2,632.94, 3,950.16 and 966.91

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Solution

The fourth proportional to 2,632.94, 3,950.16 and 966.91 is: 1,450.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,632.94 : 3,950.16 = 966.91 : x
  2. Step 2: Convert to fraction form
    2,632.94/3,950.16 = 966.91/x
  3. Step 3: Cross multiply
    2,632.94x = 3,950.16 × 966.91
  4. Step 4: Simplify right side
    2,632.94x = 3,819,424.62
  5. Step 5: Solve for x
    x = 3,819,424.62/2,632.94
  6. Step 6: Final answer
    x = 1,450.63

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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.