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Finding the Fourth Proportional to 2,581.28, 3,872.12 and 937.84

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Solution

The fourth proportional to 2,581.28, 3,872.12 and 937.84 is: 1,406.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,581.28 : 3,872.12 = 937.84 : x
  2. Step 2: Convert to fraction form
    2,581.28/3,872.12 = 937.84/x
  3. Step 3: Cross multiply
    2,581.28x = 3,872.12 × 937.84
  4. Step 4: Simplify right side
    2,581.28x = 3,631,429.02
  5. Step 5: Solve for x
    x = 3,631,429.02/2,581.28
  6. Step 6: Final answer
    x = 1,406.83

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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.