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Finding the Fourth Proportional to 3,233.54, 4,850.76 and 1,384.68

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Solution

The fourth proportional to 3,233.54, 4,850.76 and 1,384.68 is: 2,077.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,233.54 : 4,850.76 = 1,384.68 : x
  2. Step 2: Convert to fraction form
    3,233.54/4,850.76 = 1,384.68/x
  3. Step 3: Cross multiply
    3,233.54x = 4,850.76 × 1,384.68
  4. Step 4: Simplify right side
    3,233.54x = 6,716,750.36
  5. Step 5: Solve for x
    x = 6,716,750.36/3,233.54
  6. Step 6: Final answer
    x = 2,077.21

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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.