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Finding the Fourth Proportional to 2,741, 4,113.39 and 2,375.42

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Solution

The fourth proportional to 2,741, 4,113.39 and 2,375.42 is: 3,564.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,741 : 4,113.39 = 2,375.42 : x
  2. Step 2: Convert to fraction form
    2,741/4,113.39 = 2,375.42/x
  3. Step 3: Cross multiply
    2,741x = 4,113.39 × 2,375.42
  4. Step 4: Simplify right side
    2,741x = 9,771,028.87
  5. Step 5: Solve for x
    x = 9,771,028.87/2,741
  6. Step 6: Final answer
    x = 3,564.77

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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.