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Finding the Fourth Proportional to 2,205.37, 3,306.03 and 818.38

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Solution

The fourth proportional to 2,205.37, 3,306.03 and 818.38 is: 1,226.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,205.37 : 3,306.03 = 818.38 : x
  2. Step 2: Convert to fraction form
    2,205.37/3,306.03 = 818.38/x
  3. Step 3: Cross multiply
    2,205.37x = 3,306.03 × 818.38
  4. Step 4: Simplify right side
    2,205.37x = 2,705,588.83
  5. Step 5: Solve for x
    x = 2,705,588.83/2,205.37
  6. Step 6: Final answer
    x = 1,226.82

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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.