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Finding the Fourth Proportional to 2,469.75, 3,702.69 and 1,236.52

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Solution

The fourth proportional to 2,469.75, 3,702.69 and 1,236.52 is: 1,853.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,469.75 : 3,702.69 = 1,236.52 : x
  2. Step 2: Convert to fraction form
    2,469.75/3,702.69 = 1,236.52/x
  3. Step 3: Cross multiply
    2,469.75x = 3,702.69 × 1,236.52
  4. Step 4: Simplify right side
    2,469.75x = 4,578,450.24
  5. Step 5: Solve for x
    x = 4,578,450.24/2,469.75
  6. Step 6: Final answer
    x = 1,853.81

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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.