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Finding the Fourth Proportional to 4,942.81, 7,414.60 and 1,432.87

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Solution

The fourth proportional to 4,942.81, 7,414.60 and 1,432.87 is: 2,149.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,942.81 : 7,414.60 = 1,432.87 : x
  2. Step 2: Convert to fraction form
    4,942.81/7,414.60 = 1,432.87/x
  3. Step 3: Cross multiply
    4,942.81x = 7,414.60 × 1,432.87
  4. Step 4: Simplify right side
    4,942.81x = 10,624,157.90
  5. Step 5: Solve for x
    x = 10,624,157.90/4,942.81
  6. Step 6: Final answer
    x = 2,149.42

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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.