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Finding the Fourth Proportional to 3,273.94, 4,913.48 and 1,327.51

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Solution

The fourth proportional to 3,273.94, 4,913.48 and 1,327.51 is: 1,992.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,273.94 : 4,913.48 = 1,327.51 : x
  2. Step 2: Convert to fraction form
    3,273.94/4,913.48 = 1,327.51/x
  3. Step 3: Cross multiply
    3,273.94x = 4,913.48 × 1,327.51
  4. Step 4: Simplify right side
    3,273.94x = 6,522,693.83
  5. Step 5: Solve for x
    x = 6,522,693.83/3,273.94
  6. Step 6: Final answer
    x = 1,992.31

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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.