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Finding the Fourth Proportional to 2,883.54, 4,324.23 and 2,274.42

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Solution

The fourth proportional to 2,883.54, 4,324.23 and 2,274.42 is: 3,410.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,883.54 : 4,324.23 = 2,274.42 : x
  2. Step 2: Convert to fraction form
    2,883.54/4,324.23 = 2,274.42/x
  3. Step 3: Cross multiply
    2,883.54x = 4,324.23 × 2,274.42
  4. Step 4: Simplify right side
    2,883.54x = 9,835,115.20
  5. Step 5: Solve for x
    x = 9,835,115.20/2,883.54
  6. Step 6: Final answer
    x = 3,410.78

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1.5x scale

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.