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Finding the Fourth Proportional to 2,174.77, 3,262.13 and 531.32

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Solution

The fourth proportional to 2,174.77, 3,262.13 and 531.32 is: 796.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,174.77 : 3,262.13 = 531.32 : x
  2. Step 2: Convert to fraction form
    2,174.77/3,262.13 = 531.32/x
  3. Step 3: Cross multiply
    2,174.77x = 3,262.13 × 531.32
  4. Step 4: Simplify right side
    2,174.77x = 1,733,232.26
  5. Step 5: Solve for x
    x = 1,733,232.26/2,174.77
  6. Step 6: Final answer
    x = 796.97

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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.