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Finding the Fourth Proportional to 2,481.56, 3,424 and 1,433.44

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Solution

The fourth proportional to 2,481.56, 3,424 and 1,433.44 is: 1,977.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,481.56 : 3,424 = 1,433.44 : x
  2. Step 2: Convert to fraction form
    2,481.56/3,424 = 1,433.44/x
  3. Step 3: Cross multiply
    2,481.56x = 3,424 × 1,433.44
  4. Step 4: Simplify right side
    2,481.56x = 4,908,098.56
  5. Step 5: Solve for x
    x = 4,908,098.56/2,481.56
  6. Step 6: Final answer
    x = 1,977.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.