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Finding the Fourth Proportional to 2,206.57, 3,306.09 and 1,382.99

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Solution

The fourth proportional to 2,206.57, 3,306.09 and 1,382.99 is: 2,072.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,206.57 : 3,306.09 = 1,382.99 : x
  2. Step 2: Convert to fraction form
    2,206.57/3,306.09 = 1,382.99/x
  3. Step 3: Cross multiply
    2,206.57x = 3,306.09 × 1,382.99
  4. Step 4: Simplify right side
    2,206.57x = 4,572,289.41
  5. Step 5: Solve for x
    x = 4,572,289.41/2,206.57
  6. Step 6: Final answer
    x = 2,072.13

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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.