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Finding the Fourth Proportional to 2,174.53, 3,262.26 and 876

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Solution

The fourth proportional to 2,174.53, 3,262.26 and 876 is: 1,314.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,174.53 : 3,262.26 = 876 : x
  2. Step 2: Convert to fraction form
    2,174.53/3,262.26 = 876/x
  3. Step 3: Cross multiply
    2,174.53x = 3,262.26 × 876
  4. Step 4: Simplify right side
    2,174.53x = 2,857,739.76
  5. Step 5: Solve for x
    x = 2,857,739.76/2,174.53
  6. Step 6: Final answer
    x = 1,314.19

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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.