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Finding the Fourth Proportional to 3,203.73, 4,806.77 and 1,354.68

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Solution

The fourth proportional to 3,203.73, 4,806.77 and 1,354.68 is: 2,032.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,203.73 : 4,806.77 = 1,354.68 : x
  2. Step 2: Convert to fraction form
    3,203.73/4,806.77 = 1,354.68/x
  3. Step 3: Cross multiply
    3,203.73x = 4,806.77 × 1,354.68
  4. Step 4: Simplify right side
    3,203.73x = 6,511,628.41
  5. Step 5: Solve for x
    x = 6,511,628.41/3,203.73
  6. Step 6: Final answer
    x = 2,032.51

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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.