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Finding the Fourth Proportional to 2,816.97, 4,224.23 and 1,084.38

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Solution

The fourth proportional to 2,816.97, 4,224.23 and 1,084.38 is: 1,626.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,816.97 : 4,224.23 = 1,084.38 : x
  2. Step 2: Convert to fraction form
    2,816.97/4,224.23 = 1,084.38/x
  3. Step 3: Cross multiply
    2,816.97x = 4,224.23 × 1,084.38
  4. Step 4: Simplify right side
    2,816.97x = 4,580,670.53
  5. Step 5: Solve for x
    x = 4,580,670.53/2,816.97
  6. Step 6: Final answer
    x = 1,626.10

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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.