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Finding the Fourth Proportional to 1,891.78, 2,837.74 and 593.26

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Solution

The fourth proportional to 1,891.78, 2,837.74 and 593.26 is: 889.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,891.78 : 2,837.74 = 593.26 : x
  2. Step 2: Convert to fraction form
    1,891.78/2,837.74 = 593.26/x
  3. Step 3: Cross multiply
    1,891.78x = 2,837.74 × 593.26
  4. Step 4: Simplify right side
    1,891.78x = 1,683,517.63
  5. Step 5: Solve for x
    x = 1,683,517.63/1,891.78
  6. Step 6: Final answer
    x = 889.91

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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.