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Finding the Fourth Proportional to 3,422.82, 4,723.05 and 1,930.74

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Solution

The fourth proportional to 3,422.82, 4,723.05 and 1,930.74 is: 2,664.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,422.82 : 4,723.05 = 1,930.74 : x
  2. Step 2: Convert to fraction form
    3,422.82/4,723.05 = 1,930.74/x
  3. Step 3: Cross multiply
    3,422.82x = 4,723.05 × 1,930.74
  4. Step 4: Simplify right side
    3,422.82x = 9,118,981.56
  5. Step 5: Solve for x
    x = 9,118,981.56/3,422.82
  6. Step 6: Final answer
    x = 2,664.17

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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.