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Finding the Fourth Proportional to 2,722.44, 4,084.18 and 967.52

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Solution

The fourth proportional to 2,722.44, 4,084.18 and 967.52 is: 1,451.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,722.44 : 4,084.18 = 967.52 : x
  2. Step 2: Convert to fraction form
    2,722.44/4,084.18 = 967.52/x
  3. Step 3: Cross multiply
    2,722.44x = 4,084.18 × 967.52
  4. Step 4: Simplify right side
    2,722.44x = 3,951,528.94
  5. Step 5: Solve for x
    x = 3,951,528.94/2,722.44
  6. Step 6: Final answer
    x = 1,451.47

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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.