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Finding the Fourth Proportional to 2,204.68, 3,041 and 1,319.88

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Solution

The fourth proportional to 2,204.68, 3,041 and 1,319.88 is: 1,820.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,204.68 : 3,041 = 1,319.88 : x
  2. Step 2: Convert to fraction form
    2,204.68/3,041 = 1,319.88/x
  3. Step 3: Cross multiply
    2,204.68x = 3,041 × 1,319.88
  4. Step 4: Simplify right side
    2,204.68x = 4,013,755.08
  5. Step 5: Solve for x
    x = 4,013,755.08/2,204.68
  6. Step 6: Final answer
    x = 1,820.56

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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.