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Finding the Fourth Proportional to 4,321.48, 6,481.68 and 1,201.72

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Solution

The fourth proportional to 4,321.48, 6,481.68 and 1,201.72 is: 1,802.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,321.48 : 6,481.68 = 1,201.72 : x
  2. Step 2: Convert to fraction form
    4,321.48/6,481.68 = 1,201.72/x
  3. Step 3: Cross multiply
    4,321.48x = 6,481.68 × 1,201.72
  4. Step 4: Simplify right side
    4,321.48x = 7,789,164.49
  5. Step 5: Solve for x
    x = 7,789,164.49/4,321.48
  6. Step 6: Final answer
    x = 1,802.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.