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Finding the Fourth Proportional to 2,633.73, 3,950.55 and 967.98

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Solution

The fourth proportional to 2,633.73, 3,950.55 and 967.98 is: 1,451.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,633.73 : 3,950.55 = 967.98 : x
  2. Step 2: Convert to fraction form
    2,633.73/3,950.55 = 967.98/x
  3. Step 3: Cross multiply
    2,633.73x = 3,950.55 × 967.98
  4. Step 4: Simplify right side
    2,633.73x = 3,824,053.39
  5. Step 5: Solve for x
    x = 3,824,053.39/2,633.73
  6. Step 6: Final answer
    x = 1,451.95

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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.