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Finding the Fourth Proportional to 2,992.33, 4,481.65 and 1,433.43

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Solution

The fourth proportional to 2,992.33, 4,481.65 and 1,433.43 is: 2,146.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,992.33 : 4,481.65 = 1,433.43 : x
  2. Step 2: Convert to fraction form
    2,992.33/4,481.65 = 1,433.43/x
  3. Step 3: Cross multiply
    2,992.33x = 4,481.65 × 1,433.43
  4. Step 4: Simplify right side
    2,992.33x = 6,424,156.29
  5. Step 5: Solve for x
    x = 6,424,156.29/2,992.33
  6. Step 6: Final answer
    x = 2,146.87

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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.