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Finding the Fourth Proportional to 2,424.70, 3,324.27 and 2,380.96

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Solution

The fourth proportional to 2,424.70, 3,324.27 and 2,380.96 is: 3,264.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,424.70 : 3,324.27 = 2,380.96 : x
  2. Step 2: Convert to fraction form
    2,424.70/3,324.27 = 2,380.96/x
  3. Step 3: Cross multiply
    2,424.70x = 3,324.27 × 2,380.96
  4. Step 4: Simplify right side
    2,424.70x = 7,914,953.90
  5. Step 5: Solve for x
    x = 7,914,953.90/2,424.70
  6. Step 6: Final answer
    x = 3,264.30

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.