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Finding the Fourth Proportional to 3,203.24, 4,806.14 and 1,740.68

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Solution

The fourth proportional to 3,203.24, 4,806.14 and 1,740.68 is: 2,611.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,203.24 : 4,806.14 = 1,740.68 : x
  2. Step 2: Convert to fraction form
    3,203.24/4,806.14 = 1,740.68/x
  3. Step 3: Cross multiply
    3,203.24x = 4,806.14 × 1,740.68
  4. Step 4: Simplify right side
    3,203.24x = 8,365,951.78
  5. Step 5: Solve for x
    x = 8,365,951.78/3,203.24
  6. Step 6: Final answer
    x = 2,611.72

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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.