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Finding the Fourth Proportional to 2,028.43, 3,042.21 and 641.89

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Solution

The fourth proportional to 2,028.43, 3,042.21 and 641.89 is: 962.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,028.43 : 3,042.21 = 641.89 : x
  2. Step 2: Convert to fraction form
    2,028.43/3,042.21 = 641.89/x
  3. Step 3: Cross multiply
    2,028.43x = 3,042.21 × 641.89
  4. Step 4: Simplify right side
    2,028.43x = 1,952,764.18
  5. Step 5: Solve for x
    x = 1,952,764.18/2,028.43
  6. Step 6: Final answer
    x = 962.70

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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.