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Finding the Fourth Proportional to 1,217.22, 1,825.74 and 351.42

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Solution

The fourth proportional to 1,217.22, 1,825.74 and 351.42 is: 527.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,217.22 : 1,825.74 = 351.42 : x
  2. Step 2: Convert to fraction form
    1,217.22/1,825.74 = 351.42/x
  3. Step 3: Cross multiply
    1,217.22x = 1,825.74 × 351.42
  4. Step 4: Simplify right side
    1,217.22x = 641,601.55
  5. Step 5: Solve for x
    x = 641,601.55/1,217.22
  6. Step 6: Final answer
    x = 527.10

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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.