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Finding the Fourth Proportional to 3,072.72, 4,608.88 and 1,317.72

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Solution

The fourth proportional to 3,072.72, 4,608.88 and 1,317.72 is: 1,976.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,072.72 : 4,608.88 = 1,317.72 : x
  2. Step 2: Convert to fraction form
    3,072.72/4,608.88 = 1,317.72/x
  3. Step 3: Cross multiply
    3,072.72x = 4,608.88 × 1,317.72
  4. Step 4: Simplify right side
    3,072.72x = 6,073,213.35
  5. Step 5: Solve for x
    x = 6,073,213.35/3,072.72
  6. Step 6: Final answer
    x = 1,976.49

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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.