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Finding the Fourth Proportional to 2,158.08, 3,236.96 and 859.84

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Solution

The fourth proportional to 2,158.08, 3,236.96 and 859.84 is: 1,289.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,158.08 : 3,236.96 = 859.84 : x
  2. Step 2: Convert to fraction form
    2,158.08/3,236.96 = 859.84/x
  3. Step 3: Cross multiply
    2,158.08x = 3,236.96 × 859.84
  4. Step 4: Simplify right side
    2,158.08x = 2,783,267.69
  5. Step 5: Solve for x
    x = 2,783,267.69/2,158.08
  6. Step 6: Final answer
    x = 1,289.70

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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.