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Finding the Fourth Proportional to 2,326.92, 3,489.12 and 786.84

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Solution

The fourth proportional to 2,326.92, 3,489.12 and 786.84 is: 1,179.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,326.92 : 3,489.12 = 786.84 : x
  2. Step 2: Convert to fraction form
    2,326.92/3,489.12 = 786.84/x
  3. Step 3: Cross multiply
    2,326.92x = 3,489.12 × 786.84
  4. Step 4: Simplify right side
    2,326.92x = 2,745,379.18
  5. Step 5: Solve for x
    x = 2,745,379.18/2,326.92
  6. Step 6: Final answer
    x = 1,179.83

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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.