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Finding the Fourth Proportional to 3,326.69, 4,993.13 and 1,684.38

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Solution

The fourth proportional to 3,326.69, 4,993.13 and 1,684.38 is: 2,528.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,326.69 : 4,993.13 = 1,684.38 : x
  2. Step 2: Convert to fraction form
    3,326.69/4,993.13 = 1,684.38/x
  3. Step 3: Cross multiply
    3,326.69x = 4,993.13 × 1,684.38
  4. Step 4: Simplify right side
    3,326.69x = 8,410,328.31
  5. Step 5: Solve for x
    x = 8,410,328.31/3,326.69
  6. Step 6: Final answer
    x = 2,528.14

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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.