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Finding the Fourth Proportional to 2,174.94, 3,262.42 and 531.49

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Solution

The fourth proportional to 2,174.94, 3,262.42 and 531.49 is: 797.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,174.94 : 3,262.42 = 531.49 : x
  2. Step 2: Convert to fraction form
    2,174.94/3,262.42 = 531.49/x
  3. Step 3: Cross multiply
    2,174.94x = 3,262.42 × 531.49
  4. Step 4: Simplify right side
    2,174.94x = 1,733,943.61
  5. Step 5: Solve for x
    x = 1,733,943.61/2,174.94
  6. Step 6: Final answer
    x = 797.24

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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.