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Finding the Fourth Proportional to 2,134.26, 3,201.37 and 964.67

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Solution

The fourth proportional to 2,134.26, 3,201.37 and 964.67 is: 1,447.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,134.26 : 3,201.37 = 964.67 : x
  2. Step 2: Convert to fraction form
    2,134.26/3,201.37 = 964.67/x
  3. Step 3: Cross multiply
    2,134.26x = 3,201.37 × 964.67
  4. Step 4: Simplify right side
    2,134.26x = 3,088,265.60
  5. Step 5: Solve for x
    x = 3,088,265.60/2,134.26
  6. Step 6: Final answer
    x = 1,447.00

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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.