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Finding the Fourth Proportional to 3,452.80, 5,180.73 and 1,261.02

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Solution

The fourth proportional to 3,452.80, 5,180.73 and 1,261.02 is: 1,892.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,452.80 : 5,180.73 = 1,261.02 : x
  2. Step 2: Convert to fraction form
    3,452.80/5,180.73 = 1,261.02/x
  3. Step 3: Cross multiply
    3,452.80x = 5,180.73 × 1,261.02
  4. Step 4: Simplify right side
    3,452.80x = 6,533,000.34
  5. Step 5: Solve for x
    x = 6,533,000.34/3,452.80
  6. Step 6: Final answer
    x = 1,892.09

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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.