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Finding the Fourth Proportional to 2,745.48, 4,114.56 and 1,447.86

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Solution

The fourth proportional to 2,745.48, 4,114.56 and 1,447.86 is: 2,169.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,745.48 : 4,114.56 = 1,447.86 : x
  2. Step 2: Convert to fraction form
    2,745.48/4,114.56 = 1,447.86/x
  3. Step 3: Cross multiply
    2,745.48x = 4,114.56 × 1,447.86
  4. Step 4: Simplify right side
    2,745.48x = 5,957,306.84
  5. Step 5: Solve for x
    x = 5,957,306.84/2,745.48
  6. Step 6: Final answer
    x = 2,169.86

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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.