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Finding the Fourth Proportional to 2,591.31, 3,886.25 and 859.95

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Solution

The fourth proportional to 2,591.31, 3,886.25 and 859.95 is: 1,289.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,591.31 : 3,886.25 = 859.95 : x
  2. Step 2: Convert to fraction form
    2,591.31/3,886.25 = 859.95/x
  3. Step 3: Cross multiply
    2,591.31x = 3,886.25 × 859.95
  4. Step 4: Simplify right side
    2,591.31x = 3,341,976.39
  5. Step 5: Solve for x
    x = 3,341,976.39/2,591.31
  6. Step 6: Final answer
    x = 1,289.69

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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.