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Finding the Fourth Proportional to 2,069.20, 2,855.18 and 1,229.89

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Solution

The fourth proportional to 2,069.20, 2,855.18 and 1,229.89 is: 1,697.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,069.20 : 2,855.18 = 1,229.89 : x
  2. Step 2: Convert to fraction form
    2,069.20/2,855.18 = 1,229.89/x
  3. Step 3: Cross multiply
    2,069.20x = 2,855.18 × 1,229.89
  4. Step 4: Simplify right side
    2,069.20x = 3,511,543.05
  5. Step 5: Solve for x
    x = 3,511,543.05/2,069.20
  6. Step 6: Final answer
    x = 1,697.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.