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Finding the Fourth Proportional to 2,138.42, 3,207.92 and 751.43

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Solution

The fourth proportional to 2,138.42, 3,207.92 and 751.43 is: 1,127.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.42 : 3,207.92 = 751.43 : x
  2. Step 2: Convert to fraction form
    2,138.42/3,207.92 = 751.43/x
  3. Step 3: Cross multiply
    2,138.42x = 3,207.92 × 751.43
  4. Step 4: Simplify right side
    2,138.42x = 2,410,507.53
  5. Step 5: Solve for x
    x = 2,410,507.53/2,138.42
  6. Step 6: Final answer
    x = 1,127.24

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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.