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Finding the Fourth Proportional to 2,503.08, 3,753.81 and 1,463.04

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Solution

The fourth proportional to 2,503.08, 3,753.81 and 1,463.04 is: 2,194.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,503.08 : 3,753.81 = 1,463.04 : x
  2. Step 2: Convert to fraction form
    2,503.08/3,753.81 = 1,463.04/x
  3. Step 3: Cross multiply
    2,503.08x = 3,753.81 × 1,463.04
  4. Step 4: Simplify right side
    2,503.08x = 5,491,974.18
  5. Step 5: Solve for x
    x = 5,491,974.18/2,503.08
  6. Step 6: Final answer
    x = 2,194.09

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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.