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Finding the Fourth Proportional to 2,244.33, 3,366 and 857.64

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Solution

The fourth proportional to 2,244.33, 3,366 and 857.64 is: 1,286.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,244.33 : 3,366 = 857.64 : x
  2. Step 2: Convert to fraction form
    2,244.33/3,366 = 857.64/x
  3. Step 3: Cross multiply
    2,244.33x = 3,366 × 857.64
  4. Step 4: Simplify right side
    2,244.33x = 2,886,816.24
  5. Step 5: Solve for x
    x = 2,886,816.24/2,244.33
  6. Step 6: Final answer
    x = 1,286.27

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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.