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Finding the Fourth Proportional to 2,133.88, 3,201.86 and 964.69

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Solution

The fourth proportional to 2,133.88, 3,201.86 and 964.69 is: 1,447.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,133.88 : 3,201.86 = 964.69 : x
  2. Step 2: Convert to fraction form
    2,133.88/3,201.86 = 964.69/x
  3. Step 3: Cross multiply
    2,133.88x = 3,201.86 × 964.69
  4. Step 4: Simplify right side
    2,133.88x = 3,088,797.50
  5. Step 5: Solve for x
    x = 3,088,797.50/2,133.88
  6. Step 6: Final answer
    x = 1,447.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.