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Finding the Fourth Proportional to 3,233.73, 4,851.20 and 1,155

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Solution

The fourth proportional to 3,233.73, 4,851.20 and 1,155 is: 1,732.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,233.73 : 4,851.20 = 1,155 : x
  2. Step 2: Convert to fraction form
    3,233.73/4,851.20 = 1,155/x
  3. Step 3: Cross multiply
    3,233.73x = 4,851.20 × 1,155
  4. Step 4: Simplify right side
    3,233.73x = 5,603,136
  5. Step 5: Solve for x
    x = 5,603,136/3,233.73
  6. Step 6: Final answer
    x = 1,732.72

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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.