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Finding the Fourth Proportional to 2,577.48, 3,866.49 and 822.62

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Solution

The fourth proportional to 2,577.48, 3,866.49 and 822.62 is: 1,234.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,577.48 : 3,866.49 = 822.62 : x
  2. Step 2: Convert to fraction form
    2,577.48/3,866.49 = 822.62/x
  3. Step 3: Cross multiply
    2,577.48x = 3,866.49 × 822.62
  4. Step 4: Simplify right side
    2,577.48x = 3,180,632.67
  5. Step 5: Solve for x
    x = 3,180,632.67/2,577.48
  6. Step 6: Final answer
    x = 1,234.01

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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.