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Finding the Fourth Proportional to 2,156.94, 3,236.27 and 859.32

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Solution

The fourth proportional to 2,156.94, 3,236.27 and 859.32 is: 1,289.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,156.94 : 3,236.27 = 859.32 : x
  2. Step 2: Convert to fraction form
    2,156.94/3,236.27 = 859.32/x
  3. Step 3: Cross multiply
    2,156.94x = 3,236.27 × 859.32
  4. Step 4: Simplify right side
    2,156.94x = 2,780,987.24
  5. Step 5: Solve for x
    x = 2,780,987.24/2,156.94
  6. Step 6: Final answer
    x = 1,289.32

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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.