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Finding the Fourth Proportional to 1,789.22, 2,684.27 and 967.50

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Solution

The fourth proportional to 1,789.22, 2,684.27 and 967.50 is: 1,451.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,789.22 : 2,684.27 = 967.50 : x
  2. Step 2: Convert to fraction form
    1,789.22/2,684.27 = 967.50/x
  3. Step 3: Cross multiply
    1,789.22x = 2,684.27 × 967.50
  4. Step 4: Simplify right side
    1,789.22x = 2,597,033.64
  5. Step 5: Solve for x
    x = 2,597,033.64/1,789.22
  6. Step 6: Final answer
    x = 1,451.49

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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.