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Finding the Fourth Proportional to 3,203.44, 4,806 and 1,012.24

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Solution

The fourth proportional to 3,203.44, 4,806 and 1,012.24 is: 1,518.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,203.44 : 4,806 = 1,012.24 : x
  2. Step 2: Convert to fraction form
    3,203.44/4,806 = 1,012.24/x
  3. Step 3: Cross multiply
    3,203.44x = 4,806 × 1,012.24
  4. Step 4: Simplify right side
    3,203.44x = 4,864,825.44
  5. Step 5: Solve for x
    x = 4,864,825.44/3,203.44
  6. Step 6: Final answer
    x = 1,518.63

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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.