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Finding the Fourth Proportional to 2,181.70, 3,273.08 and 720.78

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Solution

The fourth proportional to 2,181.70, 3,273.08 and 720.78 is: 1,081.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,181.70 : 3,273.08 = 720.78 : x
  2. Step 2: Convert to fraction form
    2,181.70/3,273.08 = 720.78/x
  3. Step 3: Cross multiply
    2,181.70x = 3,273.08 × 720.78
  4. Step 4: Simplify right side
    2,181.70x = 2,359,170.60
  5. Step 5: Solve for x
    x = 2,359,170.60/2,181.70
  6. Step 6: Final answer
    x = 1,081.35

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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.