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Finding the Fourth Proportional to 2,720.25, 4,080.42 and 1,181.25

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Solution

The fourth proportional to 2,720.25, 4,080.42 and 1,181.25 is: 1,771.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,720.25 : 4,080.42 = 1,181.25 : x
  2. Step 2: Convert to fraction form
    2,720.25/4,080.42 = 1,181.25/x
  3. Step 3: Cross multiply
    2,720.25x = 4,080.42 × 1,181.25
  4. Step 4: Simplify right side
    2,720.25x = 4,819,996.13
  5. Step 5: Solve for x
    x = 4,819,996.13/2,720.25
  6. Step 6: Final answer
    x = 1,771.89

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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.