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Finding the Fourth Proportional to 2,158.97, 3,236.58 and 859.59

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Solution

The fourth proportional to 2,158.97, 3,236.58 and 859.59 is: 1,288.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,158.97 : 3,236.58 = 859.59 : x
  2. Step 2: Convert to fraction form
    2,158.97/3,236.58 = 859.59/x
  3. Step 3: Cross multiply
    2,158.97x = 3,236.58 × 859.59
  4. Step 4: Simplify right side
    2,158.97x = 2,782,131.80
  5. Step 5: Solve for x
    x = 2,782,131.80/2,158.97
  6. Step 6: Final answer
    x = 1,288.64

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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.