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Finding the Fourth Proportional to 2,489.31, 3,730.61 and 949.47

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Solution

The fourth proportional to 2,489.31, 3,730.61 and 949.47 is: 1,422.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,489.31 : 3,730.61 = 949.47 : x
  2. Step 2: Convert to fraction form
    2,489.31/3,730.61 = 949.47/x
  3. Step 3: Cross multiply
    2,489.31x = 3,730.61 × 949.47
  4. Step 4: Simplify right side
    2,489.31x = 3,542,097.53
  5. Step 5: Solve for x
    x = 3,542,097.53/2,489.31
  6. Step 6: Final answer
    x = 1,422.92

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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.