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Finding the Fourth Proportional to 3,074.97, 4,243.24 and 1,816.08

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Solution

The fourth proportional to 3,074.97, 4,243.24 and 1,816.08 is: 2,506.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,074.97 : 4,243.24 = 1,816.08 : x
  2. Step 2: Convert to fraction form
    3,074.97/4,243.24 = 1,816.08/x
  3. Step 3: Cross multiply
    3,074.97x = 4,243.24 × 1,816.08
  4. Step 4: Simplify right side
    3,074.97x = 7,706,063.30
  5. Step 5: Solve for x
    x = 7,706,063.30/3,074.97
  6. Step 6: Final answer
    x = 2,506.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.