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Finding the Fourth Proportional to 2,028.98, 3,042.39 and 641.94

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Solution

The fourth proportional to 2,028.98, 3,042.39 and 641.94 is: 962.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,028.98 : 3,042.39 = 641.94 : x
  2. Step 2: Convert to fraction form
    2,028.98/3,042.39 = 641.94/x
  3. Step 3: Cross multiply
    2,028.98x = 3,042.39 × 641.94
  4. Step 4: Simplify right side
    2,028.98x = 1,953,031.84
  5. Step 5: Solve for x
    x = 1,953,031.84/2,028.98
  6. Step 6: Final answer
    x = 962.57

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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.