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Finding the Fourth Proportional to 2,181.57, 3,272.76 and 720.84

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Solution

The fourth proportional to 2,181.57, 3,272.76 and 720.84 is: 1,081.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,181.57 : 3,272.76 = 720.84 : x
  2. Step 2: Convert to fraction form
    2,181.57/3,272.76 = 720.84/x
  3. Step 3: Cross multiply
    2,181.57x = 3,272.76 × 720.84
  4. Step 4: Simplify right side
    2,181.57x = 2,359,136.32
  5. Step 5: Solve for x
    x = 2,359,136.32/2,181.57
  6. Step 6: Final answer
    x = 1,081.39

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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.