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Finding the Fourth Proportional to 2,209.32, 3,314.25 and 911.16

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Solution

The fourth proportional to 2,209.32, 3,314.25 and 911.16 is: 1,366.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,209.32 : 3,314.25 = 911.16 : x
  2. Step 2: Convert to fraction form
    2,209.32/3,314.25 = 911.16/x
  3. Step 3: Cross multiply
    2,209.32x = 3,314.25 × 911.16
  4. Step 4: Simplify right side
    2,209.32x = 3,019,812.03
  5. Step 5: Solve for x
    x = 3,019,812.03/2,209.32
  6. Step 6: Final answer
    x = 1,366.85

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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.