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Finding the Fourth Proportional to 2,813.64, 3,878.20 and 2,253.12

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Solution

The fourth proportional to 2,813.64, 3,878.20 and 2,253.12 is: 3,105.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,813.64 : 3,878.20 = 2,253.12 : x
  2. Step 2: Convert to fraction form
    2,813.64/3,878.20 = 2,253.12/x
  3. Step 3: Cross multiply
    2,813.64x = 3,878.20 × 2,253.12
  4. Step 4: Simplify right side
    2,813.64x = 8,738,049.98
  5. Step 5: Solve for x
    x = 8,738,049.98/2,813.64
  6. Step 6: Final answer
    x = 3,105.60

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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.