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Finding the Fourth Proportional to 2,162, 3,245.16 and 1,188.92

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Solution

The fourth proportional to 2,162, 3,245.16 and 1,188.92 is: 1,784.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,162 : 3,245.16 = 1,188.92 : x
  2. Step 2: Convert to fraction form
    2,162/3,245.16 = 1,188.92/x
  3. Step 3: Cross multiply
    2,162x = 3,245.16 × 1,188.92
  4. Step 4: Simplify right side
    2,162x = 3,858,235.63
  5. Step 5: Solve for x
    x = 3,858,235.63/2,162
  6. Step 6: Final answer
    x = 1,784.57

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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.