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Finding the Fourth Proportional to 2,711.93, 3,742.50 and 1,469.93

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Solution

The fourth proportional to 2,711.93, 3,742.50 and 1,469.93 is: 2,028.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,711.93 : 3,742.50 = 1,469.93 : x
  2. Step 2: Convert to fraction form
    2,711.93/3,742.50 = 1,469.93/x
  3. Step 3: Cross multiply
    2,711.93x = 3,742.50 × 1,469.93
  4. Step 4: Simplify right side
    2,711.93x = 5,501,213.03
  5. Step 5: Solve for x
    x = 5,501,213.03/2,711.93
  6. Step 6: Final answer
    x = 2,028.52

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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.