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Finding the Fourth Proportional to 4,162.82, 6,244.63 and 1,201.43

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Solution

The fourth proportional to 4,162.82, 6,244.63 and 1,201.43 is: 1,802.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,162.82 : 6,244.63 = 1,201.43 : x
  2. Step 2: Convert to fraction form
    4,162.82/6,244.63 = 1,201.43/x
  3. Step 3: Cross multiply
    4,162.82x = 6,244.63 × 1,201.43
  4. Step 4: Simplify right side
    4,162.82x = 7,502,498.43
  5. Step 5: Solve for x
    x = 7,502,498.43/4,162.82
  6. Step 6: Final answer
    x = 1,802.27

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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.