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Finding the Fourth Proportional to 2,591, 3,887.12 and 859.63

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Solution

The fourth proportional to 2,591, 3,887.12 and 859.63 is: 1,289.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,591 : 3,887.12 = 859.63 : x
  2. Step 2: Convert to fraction form
    2,591/3,887.12 = 859.63/x
  3. Step 3: Cross multiply
    2,591x = 3,887.12 × 859.63
  4. Step 4: Simplify right side
    2,591x = 3,341,484.97
  5. Step 5: Solve for x
    x = 3,341,484.97/2,591
  6. Step 6: Final answer
    x = 1,289.65

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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.