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Finding the Fourth Proportional to 3,461.37, 5,191.20 and 1,610.73

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Solution

The fourth proportional to 3,461.37, 5,191.20 and 1,610.73 is: 2,415.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,461.37 : 5,191.20 = 1,610.73 : x
  2. Step 2: Convert to fraction form
    3,461.37/5,191.20 = 1,610.73/x
  3. Step 3: Cross multiply
    3,461.37x = 5,191.20 × 1,610.73
  4. Step 4: Simplify right side
    3,461.37x = 8,361,621.58
  5. Step 5: Solve for x
    x = 8,361,621.58/3,461.37
  6. Step 6: Final answer
    x = 2,415.70

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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.