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Finding the Fourth Proportional to 3,213, 4,433.94 and 1,741

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Solution

The fourth proportional to 3,213, 4,433.94 and 1,741 is: 2,402.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,213 : 4,433.94 = 1,741 : x
  2. Step 2: Convert to fraction form
    3,213/4,433.94 = 1,741/x
  3. Step 3: Cross multiply
    3,213x = 4,433.94 × 1,741
  4. Step 4: Simplify right side
    3,213x = 7,719,489.54
  5. Step 5: Solve for x
    x = 7,719,489.54/3,213
  6. Step 6: Final answer
    x = 2,402.58

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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.