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Finding the Fourth Proportional to 2,181.52, 3,270.26 and 720.35

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Solution

The fourth proportional to 2,181.52, 3,270.26 and 720.35 is: 1,079.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,181.52 : 3,270.26 = 720.35 : x
  2. Step 2: Convert to fraction form
    2,181.52/3,270.26 = 720.35/x
  3. Step 3: Cross multiply
    2,181.52x = 3,270.26 × 720.35
  4. Step 4: Simplify right side
    2,181.52x = 2,355,728.19
  5. Step 5: Solve for x
    x = 2,355,728.19/2,181.52
  6. Step 6: Final answer
    x = 1,079.86

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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.