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Finding the Fourth Proportional to 2,469.72, 3,702.82 and 1,236.24

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Solution

The fourth proportional to 2,469.72, 3,702.82 and 1,236.24 is: 1,853.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,469.72 : 3,702.82 = 1,236.24 : x
  2. Step 2: Convert to fraction form
    2,469.72/3,702.82 = 1,236.24/x
  3. Step 3: Cross multiply
    2,469.72x = 3,702.82 × 1,236.24
  4. Step 4: Simplify right side
    2,469.72x = 4,577,574.20
  5. Step 5: Solve for x
    x = 4,577,574.20/2,469.72
  6. Step 6: Final answer
    x = 1,853.48

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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.