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Finding the Fourth Proportional to 4,302, 6,453.24 and 1,224.24

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Solution

The fourth proportional to 4,302, 6,453.24 and 1,224.24 is: 1,836.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,302 : 6,453.24 = 1,224.24 : x
  2. Step 2: Convert to fraction form
    4,302/6,453.24 = 1,224.24/x
  3. Step 3: Cross multiply
    4,302x = 6,453.24 × 1,224.24
  4. Step 4: Simplify right side
    4,302x = 7,900,314.54
  5. Step 5: Solve for x
    x = 7,900,314.54/4,302
  6. Step 6: Final answer
    x = 1,836.43

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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.