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Finding the Fourth Proportional to 1,951.81, 2,927.72 and 490.95

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Solution

The fourth proportional to 1,951.81, 2,927.72 and 490.95 is: 736.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,951.81 : 2,927.72 = 490.95 : x
  2. Step 2: Convert to fraction form
    1,951.81/2,927.72 = 490.95/x
  3. Step 3: Cross multiply
    1,951.81x = 2,927.72 × 490.95
  4. Step 4: Simplify right side
    1,951.81x = 1,437,361.68
  5. Step 5: Solve for x
    x = 1,437,361.68/1,951.81
  6. Step 6: Final answer
    x = 736.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.