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Finding the Fourth Proportional to 2,711.25, 3,741.53 and 1,469.25

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Solution

The fourth proportional to 2,711.25, 3,741.53 and 1,469.25 is: 2,027.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,711.25 : 3,741.53 = 1,469.25 : x
  2. Step 2: Convert to fraction form
    2,711.25/3,741.53 = 1,469.25/x
  3. Step 3: Cross multiply
    2,711.25x = 3,741.53 × 1,469.25
  4. Step 4: Simplify right side
    2,711.25x = 5,497,242.95
  5. Step 5: Solve for x
    x = 5,497,242.95/2,711.25
  6. Step 6: Final answer
    x = 2,027.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.