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Finding the Fourth Proportional to 2,497.23, 3,745.24 and 853.34

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Solution

The fourth proportional to 2,497.23, 3,745.24 and 853.34 is: 1,279.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,497.23 : 3,745.24 = 853.34 : x
  2. Step 2: Convert to fraction form
    2,497.23/3,745.24 = 853.34/x
  3. Step 3: Cross multiply
    2,497.23x = 3,745.24 × 853.34
  4. Step 4: Simplify right side
    2,497.23x = 3,195,942.24
  5. Step 5: Solve for x
    x = 3,195,942.24/2,497.23
  6. Step 6: Final answer
    x = 1,279.79

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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.