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Finding the Fourth Proportional to 4,174.99, 5,761.49 and 2,260.82

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Solution

The fourth proportional to 4,174.99, 5,761.49 and 2,260.82 is: 3,119.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,174.99 : 5,761.49 = 2,260.82 : x
  2. Step 2: Convert to fraction form
    4,174.99/5,761.49 = 2,260.82/x
  3. Step 3: Cross multiply
    4,174.99x = 5,761.49 × 2,260.82
  4. Step 4: Simplify right side
    4,174.99x = 13,025,694.92
  5. Step 5: Solve for x
    x = 13,025,694.92/4,174.99
  6. Step 6: Final answer
    x = 3,119.94

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1.5x scale

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.