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Finding the Fourth Proportional to 2,669.74, 4,004.44 and 820.68

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Solution

The fourth proportional to 2,669.74, 4,004.44 and 820.68 is: 1,230.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,669.74 : 4,004.44 = 820.68 : x
  2. Step 2: Convert to fraction form
    2,669.74/4,004.44 = 820.68/x
  3. Step 3: Cross multiply
    2,669.74x = 4,004.44 × 820.68
  4. Step 4: Simplify right side
    2,669.74x = 3,286,363.82
  5. Step 5: Solve for x
    x = 3,286,363.82/2,669.74
  6. Step 6: Final answer
    x = 1,230.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.