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Finding the Fourth Proportional to 2,753.83, 3,800.64 and 2,089.54

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Solution

The fourth proportional to 2,753.83, 3,800.64 and 2,089.54 is: 2,883.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,753.83 : 3,800.64 = 2,089.54 : x
  2. Step 2: Convert to fraction form
    2,753.83/3,800.64 = 2,089.54/x
  3. Step 3: Cross multiply
    2,753.83x = 3,800.64 × 2,089.54
  4. Step 4: Simplify right side
    2,753.83x = 7,941,589.31
  5. Step 5: Solve for x
    x = 7,941,589.31/2,753.83
  6. Step 6: Final answer
    x = 2,883.83

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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.