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Finding the Fourth Proportional to 2,968.22, 4,451.50 and 887.73

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Solution

The fourth proportional to 2,968.22, 4,451.50 and 887.73 is: 1,331.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,968.22 : 4,451.50 = 887.73 : x
  2. Step 2: Convert to fraction form
    2,968.22/4,451.50 = 887.73/x
  3. Step 3: Cross multiply
    2,968.22x = 4,451.50 × 887.73
  4. Step 4: Simplify right side
    2,968.22x = 3,951,727.88
  5. Step 5: Solve for x
    x = 3,951,727.88/2,968.22
  6. Step 6: Final answer
    x = 1,331.34

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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.