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Finding the Fourth Proportional to 1,757.37, 2,411.78 and 1,591.22

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Solution

The fourth proportional to 1,757.37, 2,411.78 and 1,591.22 is: 2,183.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,757.37 : 2,411.78 = 1,591.22 : x
  2. Step 2: Convert to fraction form
    1,757.37/2,411.78 = 1,591.22/x
  3. Step 3: Cross multiply
    1,757.37x = 2,411.78 × 1,591.22
  4. Step 4: Simplify right side
    1,757.37x = 3,837,672.57
  5. Step 5: Solve for x
    x = 3,837,672.57/1,757.37
  6. Step 6: Final answer
    x = 2,183.76

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.