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Finding the Fourth Proportional to 3,422.74, 4,722.96 and 1,930.72

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Solution

The fourth proportional to 3,422.74, 4,722.96 and 1,930.72 is: 2,664.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,422.74 : 4,722.96 = 1,930.72 : x
  2. Step 2: Convert to fraction form
    3,422.74/4,722.96 = 1,930.72/x
  3. Step 3: Cross multiply
    3,422.74x = 4,722.96 × 1,930.72
  4. Step 4: Simplify right side
    3,422.74x = 9,118,713.33
  5. Step 5: Solve for x
    x = 9,118,713.33/3,422.74
  6. Step 6: Final answer
    x = 2,664.16

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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.