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Finding the Fourth Proportional to 2,028.13, 3,042.30 and 641.51

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Solution

The fourth proportional to 2,028.13, 3,042.30 and 641.51 is: 962.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,028.13 : 3,042.30 = 641.51 : x
  2. Step 2: Convert to fraction form
    2,028.13/3,042.30 = 641.51/x
  3. Step 3: Cross multiply
    2,028.13x = 3,042.30 × 641.51
  4. Step 4: Simplify right side
    2,028.13x = 1,951,665.87
  5. Step 5: Solve for x
    x = 1,951,665.87/2,028.13
  6. Step 6: Final answer
    x = 962.30

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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.