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Finding the Fourth Proportional to 2,743.27, 3,784.75 and 1,903.75

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Solution

The fourth proportional to 2,743.27, 3,784.75 and 1,903.75 is: 2,626.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,743.27 : 3,784.75 = 1,903.75 : x
  2. Step 2: Convert to fraction form
    2,743.27/3,784.75 = 1,903.75/x
  3. Step 3: Cross multiply
    2,743.27x = 3,784.75 × 1,903.75
  4. Step 4: Simplify right side
    2,743.27x = 7,205,217.81
  5. Step 5: Solve for x
    x = 7,205,217.81/2,743.27
  6. Step 6: Final answer
    x = 2,626.51

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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.