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Finding the Fourth Proportional to 2,577.06, 3,866.09 and 822.22

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Solution

The fourth proportional to 2,577.06, 3,866.09 and 822.22 is: 1,233.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,577.06 : 3,866.09 = 822.22 : x
  2. Step 2: Convert to fraction form
    2,577.06/3,866.09 = 822.22/x
  3. Step 3: Cross multiply
    2,577.06x = 3,866.09 × 822.22
  4. Step 4: Simplify right side
    2,577.06x = 3,178,762.74
  5. Step 5: Solve for x
    x = 3,178,762.74/2,577.06
  6. Step 6: Final answer
    x = 1,233.48

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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.