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Finding the Fourth Proportional to 1,893.88, 2,841.90 and 1,028.26

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Solution

The fourth proportional to 1,893.88, 2,841.90 and 1,028.26 is: 1,542.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,893.88 : 2,841.90 = 1,028.26 : x
  2. Step 2: Convert to fraction form
    1,893.88/2,841.90 = 1,028.26/x
  3. Step 3: Cross multiply
    1,893.88x = 2,841.90 × 1,028.26
  4. Step 4: Simplify right side
    1,893.88x = 2,922,212.09
  5. Step 5: Solve for x
    x = 2,922,212.09/1,893.88
  6. Step 6: Final answer
    x = 1,542.98

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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.