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Finding the Fourth Proportional to 3,329.73, 4,994.55 and 1,382.00

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Solution

The fourth proportional to 3,329.73, 4,994.55 and 1,382.00 is: 2,072.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,329.73 : 4,994.55 = 1,382.00 : x
  2. Step 2: Convert to fraction form
    3,329.73/4,994.55 = 1,382.00/x
  3. Step 3: Cross multiply
    3,329.73x = 4,994.55 × 1,382.00
  4. Step 4: Simplify right side
    3,329.73x = 6,902,443.13
  5. Step 5: Solve for x
    x = 6,902,443.13/3,329.73
  6. Step 6: Final answer
    x = 2,072.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.