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Finding the Fourth Proportional to 3,433.34, 4,738.17 and 1,941.51

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Solution

The fourth proportional to 3,433.34, 4,738.17 and 1,941.51 is: 2,679.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,433.34 : 4,738.17 = 1,941.51 : x
  2. Step 2: Convert to fraction form
    3,433.34/4,738.17 = 1,941.51/x
  3. Step 3: Cross multiply
    3,433.34x = 4,738.17 × 1,941.51
  4. Step 4: Simplify right side
    3,433.34x = 9,199,229.49
  5. Step 5: Solve for x
    x = 9,199,229.49/3,433.34
  6. Step 6: Final answer
    x = 2,679.38

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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.