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Finding the Fourth Proportional to 3,270.66, 4,906.58 and 1,193.58

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Solution

The fourth proportional to 3,270.66, 4,906.58 and 1,193.58 is: 1,790.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,270.66 : 4,906.58 = 1,193.58 : x
  2. Step 2: Convert to fraction form
    3,270.66/4,906.58 = 1,193.58/x
  3. Step 3: Cross multiply
    3,270.66x = 4,906.58 × 1,193.58
  4. Step 4: Simplify right side
    3,270.66x = 5,856,395.76
  5. Step 5: Solve for x
    x = 5,856,395.76/3,270.66
  6. Step 6: Final answer
    x = 1,790.59

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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.