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Finding the Fourth Proportional to 2,591.67, 3,887.91 and 859.89

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Solution

The fourth proportional to 2,591.67, 3,887.91 and 859.89 is: 1,289.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,591.67 : 3,887.91 = 859.89 : x
  2. Step 2: Convert to fraction form
    2,591.67/3,887.91 = 859.89/x
  3. Step 3: Cross multiply
    2,591.67x = 3,887.91 × 859.89
  4. Step 4: Simplify right side
    2,591.67x = 3,343,174.93
  5. Step 5: Solve for x
    x = 3,343,174.93/2,591.67
  6. Step 6: Final answer
    x = 1,289.97

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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.