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Finding the Fourth Proportional to 3,174.63, 4,381.13 and 1,777.38

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Solution

The fourth proportional to 3,174.63, 4,381.13 and 1,777.38 is: 2,452.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,174.63 : 4,381.13 = 1,777.38 : x
  2. Step 2: Convert to fraction form
    3,174.63/4,381.13 = 1,777.38/x
  3. Step 3: Cross multiply
    3,174.63x = 4,381.13 × 1,777.38
  4. Step 4: Simplify right side
    3,174.63x = 7,786,937.28
  5. Step 5: Solve for x
    x = 7,786,937.28/3,174.63
  6. Step 6: Final answer
    x = 2,452.86

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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.