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Finding the Fourth Proportional to 2,239.14, 3,361.14 and 1,652.30

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Solution

The fourth proportional to 2,239.14, 3,361.14 and 1,652.30 is: 2,480.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,239.14 : 3,361.14 = 1,652.30 : x
  2. Step 2: Convert to fraction form
    2,239.14/3,361.14 = 1,652.30/x
  3. Step 3: Cross multiply
    2,239.14x = 3,361.14 × 1,652.30
  4. Step 4: Simplify right side
    2,239.14x = 5,553,611.62
  5. Step 5: Solve for x
    x = 5,553,611.62/2,239.14
  6. Step 6: Final answer
    x = 2,480.24

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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.