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Finding the Fourth Proportional to 3,134.34, 4,325.22 and 1,737

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Solution

The fourth proportional to 3,134.34, 4,325.22 and 1,737 is: 2,396.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,134.34 : 4,325.22 = 1,737 : x
  2. Step 2: Convert to fraction form
    3,134.34/4,325.22 = 1,737/x
  3. Step 3: Cross multiply
    3,134.34x = 4,325.22 × 1,737
  4. Step 4: Simplify right side
    3,134.34x = 7,512,907.14
  5. Step 5: Solve for x
    x = 7,512,907.14/3,134.34
  6. Step 6: Final answer
    x = 2,396.97

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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.