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Finding the Fourth Proportional to 2,033.62, 3,049.40 and 1,448.29

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Solution

The fourth proportional to 2,033.62, 3,049.40 and 1,448.29 is: 2,171.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,033.62 : 3,049.40 = 1,448.29 : x
  2. Step 2: Convert to fraction form
    2,033.62/3,049.40 = 1,448.29/x
  3. Step 3: Cross multiply
    2,033.62x = 3,049.40 × 1,448.29
  4. Step 4: Simplify right side
    2,033.62x = 4,416,415.53
  5. Step 5: Solve for x
    x = 4,416,415.53/2,033.62
  6. Step 6: Final answer
    x = 2,171.70

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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.