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Finding the Fourth Proportional to 3,203.78, 4,806.15 and 1,354.89

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Solution

The fourth proportional to 3,203.78, 4,806.15 and 1,354.89 is: 2,032.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,203.78 : 4,806.15 = 1,354.89 : x
  2. Step 2: Convert to fraction form
    3,203.78/4,806.15 = 1,354.89/x
  3. Step 3: Cross multiply
    3,203.78x = 4,806.15 × 1,354.89
  4. Step 4: Simplify right side
    3,203.78x = 6,511,804.57
  5. Step 5: Solve for x
    x = 6,511,804.57/3,203.78
  6. Step 6: Final answer
    x = 2,032.54

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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.