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Finding the Fourth Proportional to 2,980.44, 4,469.81 and 1,517.58

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Solution

The fourth proportional to 2,980.44, 4,469.81 and 1,517.58 is: 2,275.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,980.44 : 4,469.81 = 1,517.58 : x
  2. Step 2: Convert to fraction form
    2,980.44/4,469.81 = 1,517.58/x
  3. Step 3: Cross multiply
    2,980.44x = 4,469.81 × 1,517.58
  4. Step 4: Simplify right side
    2,980.44x = 6,783,286.67
  5. Step 5: Solve for x
    x = 6,783,286.67/2,980.44
  6. Step 6: Final answer
    x = 2,275.93

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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.