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Finding the Fourth Proportional to 3,422.31, 4,722.62 and 1,930.22

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Solution

The fourth proportional to 3,422.31, 4,722.62 and 1,930.22 is: 2,663.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,422.31 : 4,722.62 = 1,930.22 : x
  2. Step 2: Convert to fraction form
    3,422.31/4,722.62 = 1,930.22/x
  3. Step 3: Cross multiply
    3,422.31x = 4,722.62 × 1,930.22
  4. Step 4: Simplify right side
    3,422.31x = 9,115,680.02
  5. Step 5: Solve for x
    x = 9,115,680.02/3,422.31
  6. Step 6: Final answer
    x = 2,663.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.