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Finding the Fourth Proportional to 1,891.88, 2,837.81 and 523.88

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Solution

The fourth proportional to 1,891.88, 2,837.81 and 523.88 is: 785.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,891.88 : 2,837.81 = 523.88 : x
  2. Step 2: Convert to fraction form
    1,891.88/2,837.81 = 523.88/x
  3. Step 3: Cross multiply
    1,891.88x = 2,837.81 × 523.88
  4. Step 4: Simplify right side
    1,891.88x = 1,486,659.02
  5. Step 5: Solve for x
    x = 1,486,659.02/1,891.88
  6. Step 6: Final answer
    x = 785.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.