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Finding the Fourth Proportional to 3,246.30, 4,872.69 and 1,786.14

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Solution

The fourth proportional to 3,246.30, 4,872.69 and 1,786.14 is: 2,680.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,246.30 : 4,872.69 = 1,786.14 : x
  2. Step 2: Convert to fraction form
    3,246.30/4,872.69 = 1,786.14/x
  3. Step 3: Cross multiply
    3,246.30x = 4,872.69 × 1,786.14
  4. Step 4: Simplify right side
    3,246.30x = 8,703,306.52
  5. Step 5: Solve for x
    x = 8,703,306.52/3,246.30
  6. Step 6: Final answer
    x = 2,680.99

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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.