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Finding the Fourth Proportional to 1,951.42, 2,927.09 and 490.57

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Solution

The fourth proportional to 1,951.42, 2,927.09 and 490.57 is: 735.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,951.42 : 2,927.09 = 490.57 : x
  2. Step 2: Convert to fraction form
    1,951.42/2,927.09 = 490.57/x
  3. Step 3: Cross multiply
    1,951.42x = 2,927.09 × 490.57
  4. Step 4: Simplify right side
    1,951.42x = 1,435,942.54
  5. Step 5: Solve for x
    x = 1,435,942.54/1,951.42
  6. Step 6: Final answer
    x = 735.85

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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.