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Finding the Fourth Proportional to 1,778.67, 2,453.24 and 1,306.42

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Solution

The fourth proportional to 1,778.67, 2,453.24 and 1,306.42 is: 1,801.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,778.67 : 2,453.24 = 1,306.42 : x
  2. Step 2: Convert to fraction form
    1,778.67/2,453.24 = 1,306.42/x
  3. Step 3: Cross multiply
    1,778.67x = 2,453.24 × 1,306.42
  4. Step 4: Simplify right side
    1,778.67x = 3,204,958.93
  5. Step 5: Solve for x
    x = 3,204,958.93/1,778.67
  6. Step 6: Final answer
    x = 1,801.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.