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Finding the Fourth Proportional to 3,072.43, 4,240.23 and 1,745.78

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Solution

The fourth proportional to 3,072.43, 4,240.23 and 1,745.78 is: 2,409.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,072.43 : 4,240.23 = 1,745.78 : x
  2. Step 2: Convert to fraction form
    3,072.43/4,240.23 = 1,745.78/x
  3. Step 3: Cross multiply
    3,072.43x = 4,240.23 × 1,745.78
  4. Step 4: Simplify right side
    3,072.43x = 7,402,508.73
  5. Step 5: Solve for x
    x = 7,402,508.73/3,072.43
  6. Step 6: Final answer
    x = 2,409.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.