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Finding the Fourth Proportional to 2,235.45, 3,353.74 and 1,311.82

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Solution

The fourth proportional to 2,235.45, 3,353.74 and 1,311.82 is: 1,968.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,235.45 : 3,353.74 = 1,311.82 : x
  2. Step 2: Convert to fraction form
    2,235.45/3,353.74 = 1,311.82/x
  3. Step 3: Cross multiply
    2,235.45x = 3,353.74 × 1,311.82
  4. Step 4: Simplify right side
    2,235.45x = 4,399,491.54
  5. Step 5: Solve for x
    x = 4,399,491.54/2,235.45
  6. Step 6: Final answer
    x = 1,968.06

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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.