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Finding the Fourth Proportional to 2,669.02, 4,003.62 and 820.18

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Solution

The fourth proportional to 2,669.02, 4,003.62 and 820.18 is: 1,230.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,669.02 : 4,003.62 = 820.18 : x
  2. Step 2: Convert to fraction form
    2,669.02/4,003.62 = 820.18/x
  3. Step 3: Cross multiply
    2,669.02x = 4,003.62 × 820.18
  4. Step 4: Simplify right side
    2,669.02x = 3,283,689.05
  5. Step 5: Solve for x
    x = 3,283,689.05/2,669.02
  6. Step 6: Final answer
    x = 1,230.30

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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.