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Finding the Fourth Proportional to 2,813.27, 3,869.48 and 2,305.48

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Solution

The fourth proportional to 2,813.27, 3,869.48 and 2,305.48 is: 3,171.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,813.27 : 3,869.48 = 2,305.48 : x
  2. Step 2: Convert to fraction form
    2,813.27/3,869.48 = 2,305.48/x
  3. Step 3: Cross multiply
    2,813.27x = 3,869.48 × 2,305.48
  4. Step 4: Simplify right side
    2,813.27x = 8,920,999.01
  5. Step 5: Solve for x
    x = 8,920,999.01/2,813.27
  6. Step 6: Final answer
    x = 3,171.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.