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Finding the Fourth Proportional to 2,463.24, 3,694.98 and 2,361.48

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Solution

The fourth proportional to 2,463.24, 3,694.98 and 2,361.48 is: 3,542.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,463.24 : 3,694.98 = 2,361.48 : x
  2. Step 2: Convert to fraction form
    2,463.24/3,694.98 = 2,361.48/x
  3. Step 3: Cross multiply
    2,463.24x = 3,694.98 × 2,361.48
  4. Step 4: Simplify right side
    2,463.24x = 8,725,621.37
  5. Step 5: Solve for x
    x = 8,725,621.37/2,463.24
  6. Step 6: Final answer
    x = 3,542.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.