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Finding the Fourth Proportional to 1,381.64, 1,906.25 and 857.84

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Solution

The fourth proportional to 1,381.64, 1,906.25 and 857.84 is: 1,183.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,381.64 : 1,906.25 = 857.84 : x
  2. Step 2: Convert to fraction form
    1,381.64/1,906.25 = 857.84/x
  3. Step 3: Cross multiply
    1,381.64x = 1,906.25 × 857.84
  4. Step 4: Simplify right side
    1,381.64x = 1,635,243.68
  5. Step 5: Solve for x
    x = 1,635,243.68/1,381.64
  6. Step 6: Final answer
    x = 1,183.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.