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Finding the Fourth Proportional to 2,669.18, 4,003.79 and 820.26

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Solution

The fourth proportional to 2,669.18, 4,003.79 and 820.26 is: 1,230.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,669.18 : 4,003.79 = 820.26 : x
  2. Step 2: Convert to fraction form
    2,669.18/4,003.79 = 820.26/x
  3. Step 3: Cross multiply
    2,669.18x = 4,003.79 × 820.26
  4. Step 4: Simplify right side
    2,669.18x = 3,284,144.68
  5. Step 5: Solve for x
    x = 3,284,144.68/2,669.18
  6. Step 6: Final answer
    x = 1,230.40

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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.