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Finding the Fourth Proportional to 2,209.18, 3,310.80 and 909.94

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Solution

The fourth proportional to 2,209.18, 3,310.80 and 909.94 is: 1,363.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,209.18 : 3,310.80 = 909.94 : x
  2. Step 2: Convert to fraction form
    2,209.18/3,310.80 = 909.94/x
  3. Step 3: Cross multiply
    2,209.18x = 3,310.80 × 909.94
  4. Step 4: Simplify right side
    2,209.18x = 3,012,629.35
  5. Step 5: Solve for x
    x = 3,012,629.35/2,209.18
  6. Step 6: Final answer
    x = 1,363.69

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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.