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Finding the Fourth Proportional to 1,469.84, 2,198.94 and 1,138.16

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Solution

The fourth proportional to 1,469.84, 2,198.94 and 1,138.16 is: 1,702.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,469.84 : 2,198.94 = 1,138.16 : x
  2. Step 2: Convert to fraction form
    1,469.84/2,198.94 = 1,138.16/x
  3. Step 3: Cross multiply
    1,469.84x = 2,198.94 × 1,138.16
  4. Step 4: Simplify right side
    1,469.84x = 2,502,745.55
  5. Step 5: Solve for x
    x = 2,502,745.55/1,469.84
  6. Step 6: Final answer
    x = 1,702.73

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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.