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Finding the Fourth Proportional to 2,289.07, 3,431.55 and 827.89

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Solution

The fourth proportional to 2,289.07, 3,431.55 and 827.89 is: 1,241.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,289.07 : 3,431.55 = 827.89 : x
  2. Step 2: Convert to fraction form
    2,289.07/3,431.55 = 827.89/x
  3. Step 3: Cross multiply
    2,289.07x = 3,431.55 × 827.89
  4. Step 4: Simplify right side
    2,289.07x = 2,840,945.93
  5. Step 5: Solve for x
    x = 2,840,945.93/2,289.07
  6. Step 6: Final answer
    x = 1,241.09

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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.