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Finding the Fourth Proportional to 1,576, 2,174.83 and 867.85

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Solution

The fourth proportional to 1,576, 2,174.83 and 867.85 is: 1,197.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,576 : 2,174.83 = 867.85 : x
  2. Step 2: Convert to fraction form
    1,576/2,174.83 = 867.85/x
  3. Step 3: Cross multiply
    1,576x = 2,174.83 × 867.85
  4. Step 4: Simplify right side
    1,576x = 1,887,426.22
  5. Step 5: Solve for x
    x = 1,887,426.22/1,576
  6. Step 6: Final answer
    x = 1,197.61

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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.