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Finding the Fourth Proportional to 2,884.22, 4,324.53 and 935.42

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Solution

The fourth proportional to 2,884.22, 4,324.53 and 935.42 is: 1,402.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,884.22 : 4,324.53 = 935.42 : x
  2. Step 2: Convert to fraction form
    2,884.22/4,324.53 = 935.42/x
  3. Step 3: Cross multiply
    2,884.22x = 4,324.53 × 935.42
  4. Step 4: Simplify right side
    2,884.22x = 4,045,251.85
  5. Step 5: Solve for x
    x = 4,045,251.85/2,884.22
  6. Step 6: Final answer
    x = 1,402.55

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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.