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Finding the Fourth Proportional to 1,950.82, 2,924.46 and 854.57

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Solution

The fourth proportional to 1,950.82, 2,924.46 and 854.57 is: 1,281.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,950.82 : 2,924.46 = 854.57 : x
  2. Step 2: Convert to fraction form
    1,950.82/2,924.46 = 854.57/x
  3. Step 3: Cross multiply
    1,950.82x = 2,924.46 × 854.57
  4. Step 4: Simplify right side
    1,950.82x = 2,499,163.09
  5. Step 5: Solve for x
    x = 2,499,163.09/1,950.82
  6. Step 6: Final answer
    x = 1,281.09

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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.