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Finding the Fourth Proportional to 2,006.98, 3,010.64 and 546.14

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Solution

The fourth proportional to 2,006.98, 3,010.64 and 546.14 is: 819.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,006.98 : 3,010.64 = 546.14 : x
  2. Step 2: Convert to fraction form
    2,006.98/3,010.64 = 546.14/x
  3. Step 3: Cross multiply
    2,006.98x = 3,010.64 × 546.14
  4. Step 4: Simplify right side
    2,006.98x = 1,644,235.73
  5. Step 5: Solve for x
    x = 1,644,235.73/2,006.98
  6. Step 6: Final answer
    x = 819.26

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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.