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Finding the Fourth Proportional to 2,942.22, 4,412.84 and 967.87

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Solution

The fourth proportional to 2,942.22, 4,412.84 and 967.87 is: 1,451.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,942.22 : 4,412.84 = 967.87 : x
  2. Step 2: Convert to fraction form
    2,942.22/4,412.84 = 967.87/x
  3. Step 3: Cross multiply
    2,942.22x = 4,412.84 × 967.87
  4. Step 4: Simplify right side
    2,942.22x = 4,271,046.31
  5. Step 5: Solve for x
    x = 4,271,046.31/2,942.22
  6. Step 6: Final answer
    x = 1,451.64

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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.