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Finding the Fourth Proportional to 2,753.77, 3,800.27 and 1,511.77

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Solution

The fourth proportional to 2,753.77, 3,800.27 and 1,511.77 is: 2,086.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,753.77 : 3,800.27 = 1,511.77 : x
  2. Step 2: Convert to fraction form
    2,753.77/3,800.27 = 1,511.77/x
  3. Step 3: Cross multiply
    2,753.77x = 3,800.27 × 1,511.77
  4. Step 4: Simplify right side
    2,753.77x = 5,745,126.62
  5. Step 5: Solve for x
    x = 5,745,126.62/2,753.77
  6. Step 6: Final answer
    x = 2,086.28

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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.