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Finding the Fourth Proportional to 2,912.35, 4,367.50 and 937.90

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Solution

The fourth proportional to 2,912.35, 4,367.50 and 937.90 is: 1,406.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,912.35 : 4,367.50 = 937.90 : x
  2. Step 2: Convert to fraction form
    2,912.35/4,367.50 = 937.90/x
  3. Step 3: Cross multiply
    2,912.35x = 4,367.50 × 937.90
  4. Step 4: Simplify right side
    2,912.35x = 4,096,278.25
  5. Step 5: Solve for x
    x = 4,096,278.25/2,912.35
  6. Step 6: Final answer
    x = 1,406.52

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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.