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Finding the Fourth Proportional to 2,209.34, 3,314.55 and 911.18

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Solution

The fourth proportional to 2,209.34, 3,314.55 and 911.18 is: 1,366.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,209.34 : 3,314.55 = 911.18 : x
  2. Step 2: Convert to fraction form
    2,209.34/3,314.55 = 911.18/x
  3. Step 3: Cross multiply
    2,209.34x = 3,314.55 × 911.18
  4. Step 4: Simplify right side
    2,209.34x = 3,020,151.67
  5. Step 5: Solve for x
    x = 3,020,151.67/2,209.34
  6. Step 6: Final answer
    x = 1,366.99

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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.