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Finding the Fourth Proportional to 2,208.49, 3,306.84 and 1,770.64

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Solution

The fourth proportional to 2,208.49, 3,306.84 and 1,770.64 is: 2,651.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,208.49 : 3,306.84 = 1,770.64 : x
  2. Step 2: Convert to fraction form
    2,208.49/3,306.84 = 1,770.64/x
  3. Step 3: Cross multiply
    2,208.49x = 3,306.84 × 1,770.64
  4. Step 4: Simplify right side
    2,208.49x = 5,855,223.18
  5. Step 5: Solve for x
    x = 5,855,223.18/2,208.49
  6. Step 6: Final answer
    x = 2,651.23

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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.