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Finding the Fourth Proportional to 2,481.96, 3,424.23 and 1,433.46

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Solution

The fourth proportional to 2,481.96, 3,424.23 and 1,433.46 is: 1,977.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,481.96 : 3,424.23 = 1,433.46 : x
  2. Step 2: Convert to fraction form
    2,481.96/3,424.23 = 1,433.46/x
  3. Step 3: Cross multiply
    2,481.96x = 3,424.23 × 1,433.46
  4. Step 4: Simplify right side
    2,481.96x = 4,908,496.74
  5. Step 5: Solve for x
    x = 4,908,496.74/2,481.96
  6. Step 6: Final answer
    x = 1,977.67

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