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Finding the Fourth Proportional to 2,738.88, 3,780.87 and 1,745.49

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Solution

The fourth proportional to 2,738.88, 3,780.87 and 1,745.49 is: 2,409.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,738.88 : 3,780.87 = 1,745.49 : x
  2. Step 2: Convert to fraction form
    2,738.88/3,780.87 = 1,745.49/x
  3. Step 3: Cross multiply
    2,738.88x = 3,780.87 × 1,745.49
  4. Step 4: Simplify right side
    2,738.88x = 6,599,470.78
  5. Step 5: Solve for x
    x = 6,599,470.78/2,738.88
  6. Step 6: Final answer
    x = 2,409.55

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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.