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Finding the Fourth Proportional to 2,912.24, 4,368.69 and 937.73

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Solution

The fourth proportional to 2,912.24, 4,368.69 and 937.73 is: 1,406.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,912.24 : 4,368.69 = 937.73 : x
  2. Step 2: Convert to fraction form
    2,912.24/4,368.69 = 937.73/x
  3. Step 3: Cross multiply
    2,912.24x = 4,368.69 × 937.73
  4. Step 4: Simplify right side
    2,912.24x = 4,096,629.83
  5. Step 5: Solve for x
    x = 4,096,629.83/2,912.24
  6. Step 6: Final answer
    x = 1,406.70

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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.