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Finding the Fourth Proportional to 2,577.38, 3,866.09 and 822.65

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Solution

The fourth proportional to 2,577.38, 3,866.09 and 822.65 is: 1,233.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,577.38 : 3,866.09 = 822.65 : x
  2. Step 2: Convert to fraction form
    2,577.38/3,866.09 = 822.65/x
  3. Step 3: Cross multiply
    2,577.38x = 3,866.09 × 822.65
  4. Step 4: Simplify right side
    2,577.38x = 3,180,429.27
  5. Step 5: Solve for x
    x = 3,180,429.27/2,577.38
  6. Step 6: Final answer
    x = 1,233.98

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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.