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Finding the Fourth Proportional to 2,669.19, 4,003.46 and 820.29

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Solution

The fourth proportional to 2,669.19, 4,003.46 and 820.29 is: 1,230.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,669.19 : 4,003.46 = 820.29 : x
  2. Step 2: Convert to fraction form
    2,669.19/4,003.46 = 820.29/x
  3. Step 3: Cross multiply
    2,669.19x = 4,003.46 × 820.29
  4. Step 4: Simplify right side
    2,669.19x = 3,284,012.19
  5. Step 5: Solve for x
    x = 3,284,012.19/2,669.19
  6. Step 6: Final answer
    x = 1,230.34

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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.