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Finding the Fourth Proportional to 2,489.06, 3,730.23 and 949.22

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Solution

The fourth proportional to 2,489.06, 3,730.23 and 949.22 is: 1,422.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,489.06 : 3,730.23 = 949.22 : x
  2. Step 2: Convert to fraction form
    2,489.06/3,730.23 = 949.22/x
  3. Step 3: Cross multiply
    2,489.06x = 3,730.23 × 949.22
  4. Step 4: Simplify right side
    2,489.06x = 3,540,808.92
  5. Step 5: Solve for x
    x = 3,540,808.92/2,489.06
  6. Step 6: Final answer
    x = 1,422.55

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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.