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Finding the Fourth Proportional to 2,469.29, 3,702.11 and 1,495.16

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Solution

The fourth proportional to 2,469.29, 3,702.11 and 1,495.16 is: 2,241.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,469.29 : 3,702.11 = 1,495.16 : x
  2. Step 2: Convert to fraction form
    2,469.29/3,702.11 = 1,495.16/x
  3. Step 3: Cross multiply
    2,469.29x = 3,702.11 × 1,495.16
  4. Step 4: Simplify right side
    2,469.29x = 5,535,234.68
  5. Step 5: Solve for x
    x = 5,535,234.68/2,469.29
  6. Step 6: Final answer
    x = 2,241.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.