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Finding the Fourth Proportional to 1,949.82, 2,926.08 and 854.49

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Solution

The fourth proportional to 1,949.82, 2,926.08 and 854.49 is: 1,282.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,949.82 : 2,926.08 = 854.49 : x
  2. Step 2: Convert to fraction form
    1,949.82/2,926.08 = 854.49/x
  3. Step 3: Cross multiply
    1,949.82x = 2,926.08 × 854.49
  4. Step 4: Simplify right side
    1,949.82x = 2,500,306.10
  5. Step 5: Solve for x
    x = 2,500,306.10/1,949.82
  6. Step 6: Final answer
    x = 1,282.33

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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.