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Finding the Fourth Proportional to 2,469.95, 3,706.39 and 911.05

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Solution

The fourth proportional to 2,469.95, 3,706.39 and 911.05 is: 1,367.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,469.95 : 3,706.39 = 911.05 : x
  2. Step 2: Convert to fraction form
    2,469.95/3,706.39 = 911.05/x
  3. Step 3: Cross multiply
    2,469.95x = 3,706.39 × 911.05
  4. Step 4: Simplify right side
    2,469.95x = 3,376,714.12
  5. Step 5: Solve for x
    x = 3,376,714.12/2,469.95
  6. Step 6: Final answer
    x = 1,367.12

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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.