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Finding the Fourth Proportional to 2,133.36, 3,201.07 and 964.19

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Solution

The fourth proportional to 2,133.36, 3,201.07 and 964.19 is: 1,446.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,133.36 : 3,201.07 = 964.19 : x
  2. Step 2: Convert to fraction form
    2,133.36/3,201.07 = 964.19/x
  3. Step 3: Cross multiply
    2,133.36x = 3,201.07 × 964.19
  4. Step 4: Simplify right side
    2,133.36x = 3,086,445.28
  5. Step 5: Solve for x
    x = 3,086,445.28/2,133.36
  6. Step 6: Final answer
    x = 1,446.75

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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.