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Finding the Fourth Proportional to 2,711.50, 3,741.88 and 1,469.50

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Solution

The fourth proportional to 2,711.50, 3,741.88 and 1,469.50 is: 2,027.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,711.50 : 3,741.88 = 1,469.50 : x
  2. Step 2: Convert to fraction form
    2,711.50/3,741.88 = 1,469.50/x
  3. Step 3: Cross multiply
    2,711.50x = 3,741.88 × 1,469.50
  4. Step 4: Simplify right side
    2,711.50x = 5,498,692.66
  5. Step 5: Solve for x
    x = 5,498,692.66/2,711.50
  6. Step 6: Final answer
    x = 2,027.92

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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.