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Finding the Fourth Proportional to 2,745.59, 4,127.49 and 2,542.68

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Solution

The fourth proportional to 2,745.59, 4,127.49 and 2,542.68 is: 3,822.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,745.59 : 4,127.49 = 2,542.68 : x
  2. Step 2: Convert to fraction form
    2,745.59/4,127.49 = 2,542.68/x
  3. Step 3: Cross multiply
    2,745.59x = 4,127.49 × 2,542.68
  4. Step 4: Simplify right side
    2,745.59x = 10,494,886.27
  5. Step 5: Solve for x
    x = 10,494,886.27/2,745.59
  6. Step 6: Final answer
    x = 3,822.46

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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.