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Finding the Fourth Proportional to 3,142.70, 4,336.80 and 1,745.54

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Solution

The fourth proportional to 3,142.70, 4,336.80 and 1,745.54 is: 2,408.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,142.70 : 4,336.80 = 1,745.54 : x
  2. Step 2: Convert to fraction form
    3,142.70/4,336.80 = 1,745.54/x
  3. Step 3: Cross multiply
    3,142.70x = 4,336.80 × 1,745.54
  4. Step 4: Simplify right side
    3,142.70x = 7,570,053.58
  5. Step 5: Solve for x
    x = 7,570,053.58/3,142.70
  6. Step 6: Final answer
    x = 2,408.78

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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.