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Finding the Fourth Proportional to 1,816.09, 2,724.51 and 566.65

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Solution

The fourth proportional to 1,816.09, 2,724.51 and 566.65 is: 850.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,816.09 : 2,724.51 = 566.65 : x
  2. Step 2: Convert to fraction form
    1,816.09/2,724.51 = 566.65/x
  3. Step 3: Cross multiply
    1,816.09x = 2,724.51 × 566.65
  4. Step 4: Simplify right side
    1,816.09x = 1,543,843.59
  5. Step 5: Solve for x
    x = 1,543,843.59/1,816.09
  6. Step 6: Final answer
    x = 850.09

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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.