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Finding the Fourth Proportional to 2,517.38, 3,778.02 and 1,742.80

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Solution

The fourth proportional to 2,517.38, 3,778.02 and 1,742.80 is: 2,615.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,517.38 : 3,778.02 = 1,742.80 : x
  2. Step 2: Convert to fraction form
    2,517.38/3,778.02 = 1,742.80/x
  3. Step 3: Cross multiply
    2,517.38x = 3,778.02 × 1,742.80
  4. Step 4: Simplify right side
    2,517.38x = 6,584,323.81
  5. Step 5: Solve for x
    x = 6,584,323.81/2,517.38
  6. Step 6: Final answer
    x = 2,615.54

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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.