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Finding the Fourth Proportional to 3,447.52, 4,757.61 and 2,050

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Solution

The fourth proportional to 3,447.52, 4,757.61 and 2,050 is: 2,829.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,447.52 : 4,757.61 = 2,050 : x
  2. Step 2: Convert to fraction form
    3,447.52/4,757.61 = 2,050/x
  3. Step 3: Cross multiply
    3,447.52x = 4,757.61 × 2,050
  4. Step 4: Simplify right side
    3,447.52x = 9,753,100.50
  5. Step 5: Solve for x
    x = 9,753,100.50/3,447.52
  6. Step 6: Final answer
    x = 2,829.02

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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.