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Finding the Fourth Proportional to 2,567.72, 3,850.67 and 923.83

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Solution

The fourth proportional to 2,567.72, 3,850.67 and 923.83 is: 1,385.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,567.72 : 3,850.67 = 923.83 : x
  2. Step 2: Convert to fraction form
    2,567.72/3,850.67 = 923.83/x
  3. Step 3: Cross multiply
    2,567.72x = 3,850.67 × 923.83
  4. Step 4: Simplify right side
    2,567.72x = 3,557,357.15
  5. Step 5: Solve for x
    x = 3,557,357.15/2,567.72
  6. Step 6: Final answer
    x = 1,385.41

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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.