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Finding the Fourth Proportional to 2,732.28, 3,771.72 and 1,895.76

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Solution

The fourth proportional to 2,732.28, 3,771.72 and 1,895.76 is: 2,616.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,732.28 : 3,771.72 = 1,895.76 : x
  2. Step 2: Convert to fraction form
    2,732.28/3,771.72 = 1,895.76/x
  3. Step 3: Cross multiply
    2,732.28x = 3,771.72 × 1,895.76
  4. Step 4: Simplify right side
    2,732.28x = 7,150,275.91
  5. Step 5: Solve for x
    x = 7,150,275.91/2,732.28
  6. Step 6: Final answer
    x = 2,616.96

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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.