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Finding the Fourth Proportional to 2,208.38, 3,314.09 and 909.85

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Solution

The fourth proportional to 2,208.38, 3,314.09 and 909.85 is: 1,365.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,208.38 : 3,314.09 = 909.85 : x
  2. Step 2: Convert to fraction form
    2,208.38/3,314.09 = 909.85/x
  3. Step 3: Cross multiply
    2,208.38x = 3,314.09 × 909.85
  4. Step 4: Simplify right side
    2,208.38x = 3,015,311.95
  5. Step 5: Solve for x
    x = 3,015,311.95/2,208.38
  6. Step 6: Final answer
    x = 1,365.40

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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.