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Finding the Fourth Proportional to 2,912.16, 4,367.60 and 937.26

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Solution

The fourth proportional to 2,912.16, 4,367.60 and 937.26 is: 1,405.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,912.16 : 4,367.60 = 937.26 : x
  2. Step 2: Convert to fraction form
    2,912.16/4,367.60 = 937.26/x
  3. Step 3: Cross multiply
    2,912.16x = 4,367.60 × 937.26
  4. Step 4: Simplify right side
    2,912.16x = 4,093,576.78
  5. Step 5: Solve for x
    x = 4,093,576.78/2,912.16
  6. Step 6: Final answer
    x = 1,405.68

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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.