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Finding the Fourth Proportional to 2,185.03, 3,277.55 and 724.29

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Solution

The fourth proportional to 2,185.03, 3,277.55 and 724.29 is: 1,086.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,185.03 : 3,277.55 = 724.29 : x
  2. Step 2: Convert to fraction form
    2,185.03/3,277.55 = 724.29/x
  3. Step 3: Cross multiply
    2,185.03x = 3,277.55 × 724.29
  4. Step 4: Simplify right side
    2,185.03x = 2,373,896.69
  5. Step 5: Solve for x
    x = 2,373,896.69/2,185.03
  6. Step 6: Final answer
    x = 1,086.44

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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.