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Finding the Fourth Proportional to 2,287.10, 3,430.60 and 727.04

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Solution

The fourth proportional to 2,287.10, 3,430.60 and 727.04 is: 1,090.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,287.10 : 3,430.60 = 727.04 : x
  2. Step 2: Convert to fraction form
    2,287.10/3,430.60 = 727.04/x
  3. Step 3: Cross multiply
    2,287.10x = 3,430.60 × 727.04
  4. Step 4: Simplify right side
    2,287.10x = 2,494,183.42
  5. Step 5: Solve for x
    x = 2,494,183.42/2,287.10
  6. Step 6: Final answer
    x = 1,090.54

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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.