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Finding the Fourth Proportional to 2,535.83, 3,803.61 and 892.39

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Solution

The fourth proportional to 2,535.83, 3,803.61 and 892.39 is: 1,338.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,535.83 : 3,803.61 = 892.39 : x
  2. Step 2: Convert to fraction form
    2,535.83/3,803.61 = 892.39/x
  3. Step 3: Cross multiply
    2,535.83x = 3,803.61 × 892.39
  4. Step 4: Simplify right side
    2,535.83x = 3,394,296.25
  5. Step 5: Solve for x
    x = 3,394,296.25/2,535.83
  6. Step 6: Final answer
    x = 1,338.54

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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.