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Finding the Fourth Proportional to 2,728.75, 4,090.48 and 1,169.16

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Solution

The fourth proportional to 2,728.75, 4,090.48 and 1,169.16 is: 1,752.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,728.75 : 4,090.48 = 1,169.16 : x
  2. Step 2: Convert to fraction form
    2,728.75/4,090.48 = 1,169.16/x
  3. Step 3: Cross multiply
    2,728.75x = 4,090.48 × 1,169.16
  4. Step 4: Simplify right side
    2,728.75x = 4,782,419.75
  5. Step 5: Solve for x
    x = 4,782,419.75/2,728.75
  6. Step 6: Final answer
    x = 1,752.60

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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.