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Finding the Fourth Proportional to 3,202.54, 4,805.07 and 1,354.66

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Solution

The fourth proportional to 3,202.54, 4,805.07 and 1,354.66 is: 2,032.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,202.54 : 4,805.07 = 1,354.66 : x
  2. Step 2: Convert to fraction form
    3,202.54/4,805.07 = 1,354.66/x
  3. Step 3: Cross multiply
    3,202.54x = 4,805.07 × 1,354.66
  4. Step 4: Simplify right side
    3,202.54x = 6,509,236.13
  5. Step 5: Solve for x
    x = 6,509,236.13/3,202.54
  6. Step 6: Final answer
    x = 2,032.52

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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.