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Finding the Fourth Proportional to 3,233.69, 4,852.17 and 1,384.30

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Solution

The fourth proportional to 3,233.69, 4,852.17 and 1,384.30 is: 2,077.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,233.69 : 4,852.17 = 1,384.30 : x
  2. Step 2: Convert to fraction form
    3,233.69/4,852.17 = 1,384.30/x
  3. Step 3: Cross multiply
    3,233.69x = 4,852.17 × 1,384.30
  4. Step 4: Simplify right side
    3,233.69x = 6,716,858.93
  5. Step 5: Solve for x
    x = 6,716,858.93/3,233.69
  6. Step 6: Final answer
    x = 2,077.15

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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.