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Finding the Fourth Proportional to 2,577.73, 3,866.10 and 1,096.68

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Solution

The fourth proportional to 2,577.73, 3,866.10 and 1,096.68 is: 1,644.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,577.73 : 3,866.10 = 1,096.68 : x
  2. Step 2: Convert to fraction form
    2,577.73/3,866.10 = 1,096.68/x
  3. Step 3: Cross multiply
    2,577.73x = 3,866.10 × 1,096.68
  4. Step 4: Simplify right side
    2,577.73x = 4,239,874.55
  5. Step 5: Solve for x
    x = 4,239,874.55/2,577.73
  6. Step 6: Final answer
    x = 1,644.81

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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.