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Finding the Fourth Proportional to 1,900.82, 2,851.31 and 602.26

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Solution

The fourth proportional to 1,900.82, 2,851.31 and 602.26 is: 903.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,900.82 : 2,851.31 = 602.26 : x
  2. Step 2: Convert to fraction form
    1,900.82/2,851.31 = 602.26/x
  3. Step 3: Cross multiply
    1,900.82x = 2,851.31 × 602.26
  4. Step 4: Simplify right side
    1,900.82x = 1,717,229.96
  5. Step 5: Solve for x
    x = 1,717,229.96/1,900.82
  6. Step 6: Final answer
    x = 903.42

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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.