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Finding the Fourth Proportional to 2,735.88, 4,101.92 and 1,438.28

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Solution

The fourth proportional to 2,735.88, 4,101.92 and 1,438.28 is: 2,156.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,735.88 : 4,101.92 = 1,438.28 : x
  2. Step 2: Convert to fraction form
    2,735.88/4,101.92 = 1,438.28/x
  3. Step 3: Cross multiply
    2,735.88x = 4,101.92 × 1,438.28
  4. Step 4: Simplify right side
    2,735.88x = 5,899,709.50
  5. Step 5: Solve for x
    x = 5,899,709.50/2,735.88
  6. Step 6: Final answer
    x = 2,156.42

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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.