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Finding the Fourth Proportional to 2,922.89, 4,384.31 and 731.62

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Solution

The fourth proportional to 2,922.89, 4,384.31 and 731.62 is: 1,097.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,922.89 : 4,384.31 = 731.62 : x
  2. Step 2: Convert to fraction form
    2,922.89/4,384.31 = 731.62/x
  3. Step 3: Cross multiply
    2,922.89x = 4,384.31 × 731.62
  4. Step 4: Simplify right side
    2,922.89x = 3,207,623.30
  5. Step 5: Solve for x
    x = 3,207,623.30/2,922.89
  6. Step 6: Final answer
    x = 1,097.41

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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.