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Finding the Fourth Proportional to 2,334.34, 3,504.24 and 1,361.14

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Solution

The fourth proportional to 2,334.34, 3,504.24 and 1,361.14 is: 2,043.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,334.34 : 3,504.24 = 1,361.14 : x
  2. Step 2: Convert to fraction form
    2,334.34/3,504.24 = 1,361.14/x
  3. Step 3: Cross multiply
    2,334.34x = 3,504.24 × 1,361.14
  4. Step 4: Simplify right side
    2,334.34x = 4,769,761.23
  5. Step 5: Solve for x
    x = 4,769,761.23/2,334.34
  6. Step 6: Final answer
    x = 2,043.30

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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.