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Finding the Fourth Proportional to 3,268.36, 4,901.90 and 959.24

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Solution

The fourth proportional to 3,268.36, 4,901.90 and 959.24 is: 1,438.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,268.36 : 4,901.90 = 959.24 : x
  2. Step 2: Convert to fraction form
    3,268.36/4,901.90 = 959.24/x
  3. Step 3: Cross multiply
    3,268.36x = 4,901.90 × 959.24
  4. Step 4: Simplify right side
    3,268.36x = 4,702,098.56
  5. Step 5: Solve for x
    x = 4,702,098.56/3,268.36
  6. Step 6: Final answer
    x = 1,438.67

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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.