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Finding the Fourth Proportional to 2,134.35, 3,201.39 and 964.44

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Solution

The fourth proportional to 2,134.35, 3,201.39 and 964.44 is: 1,446.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,134.35 : 3,201.39 = 964.44 : x
  2. Step 2: Convert to fraction form
    2,134.35/3,201.39 = 964.44/x
  3. Step 3: Cross multiply
    2,134.35x = 3,201.39 × 964.44
  4. Step 4: Simplify right side
    2,134.35x = 3,087,548.57
  5. Step 5: Solve for x
    x = 3,087,548.57/2,134.35
  6. Step 6: Final answer
    x = 1,446.60

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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.