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Finding the Fourth Proportional to 2,491.43, 3,438.70 and 1,429.37

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Solution

The fourth proportional to 2,491.43, 3,438.70 and 1,429.37 is: 1,972.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,491.43 : 3,438.70 = 1,429.37 : x
  2. Step 2: Convert to fraction form
    2,491.43/3,438.70 = 1,429.37/x
  3. Step 3: Cross multiply
    2,491.43x = 3,438.70 × 1,429.37
  4. Step 4: Simplify right side
    2,491.43x = 4,915,174.62
  5. Step 5: Solve for x
    x = 4,915,174.62/2,491.43
  6. Step 6: Final answer
    x = 1,972.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.