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Finding the Fourth Proportional to 2,204.97, 3,307.46 and 818.31

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Solution

The fourth proportional to 2,204.97, 3,307.46 and 818.31 is: 1,227.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,204.97 : 3,307.46 = 818.31 : x
  2. Step 2: Convert to fraction form
    2,204.97/3,307.46 = 818.31/x
  3. Step 3: Cross multiply
    2,204.97x = 3,307.46 × 818.31
  4. Step 4: Simplify right side
    2,204.97x = 2,706,527.59
  5. Step 5: Solve for x
    x = 2,706,527.59/2,204.97
  6. Step 6: Final answer
    x = 1,227.47

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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.