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Finding the Fourth Proportional to 2,731.80, 3,770.20 and 1,553.04

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Solution

The fourth proportional to 2,731.80, 3,770.20 and 1,553.04 is: 2,143.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,731.80 : 3,770.20 = 1,553.04 : x
  2. Step 2: Convert to fraction form
    2,731.80/3,770.20 = 1,553.04/x
  3. Step 3: Cross multiply
    2,731.80x = 3,770.20 × 1,553.04
  4. Step 4: Simplify right side
    2,731.80x = 5,855,263.64
  5. Step 5: Solve for x
    x = 5,855,263.64/2,731.80
  6. Step 6: Final answer
    x = 2,143.38

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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.