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Finding the Fourth Proportional to 2,236.77, 3,352.44 and 1,140.54

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Solution

The fourth proportional to 2,236.77, 3,352.44 and 1,140.54 is: 1,709.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,236.77 : 3,352.44 = 1,140.54 : x
  2. Step 2: Convert to fraction form
    2,236.77/3,352.44 = 1,140.54/x
  3. Step 3: Cross multiply
    2,236.77x = 3,352.44 × 1,140.54
  4. Step 4: Simplify right side
    2,236.77x = 3,823,591.92
  5. Step 5: Solve for x
    x = 3,823,591.92/2,236.77
  6. Step 6: Final answer
    x = 1,709.43

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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.