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Finding the Fourth Proportional to 2,738.48, 3,778.43 and 1,559.48

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Solution

The fourth proportional to 2,738.48, 3,778.43 and 1,559.48 is: 2,151.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,738.48 : 3,778.43 = 1,559.48 : x
  2. Step 2: Convert to fraction form
    2,738.48/3,778.43 = 1,559.48/x
  3. Step 3: Cross multiply
    2,738.48x = 3,778.43 × 1,559.48
  4. Step 4: Simplify right side
    2,738.48x = 5,892,359.33
  5. Step 5: Solve for x
    x = 5,892,359.33/2,738.48
  6. Step 6: Final answer
    x = 2,151.69

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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.