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Finding the Fourth Proportional to 2,157.66, 3,236.49 and 859.14

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Solution

The fourth proportional to 2,157.66, 3,236.49 and 859.14 is: 1,288.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,157.66 : 3,236.49 = 859.14 : x
  2. Step 2: Convert to fraction form
    2,157.66/3,236.49 = 859.14/x
  3. Step 3: Cross multiply
    2,157.66x = 3,236.49 × 859.14
  4. Step 4: Simplify right side
    2,157.66x = 2,780,598.02
  5. Step 5: Solve for x
    x = 2,780,598.02/2,157.66
  6. Step 6: Final answer
    x = 1,288.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.