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Finding the Fourth Proportional to 2,326.09, 3,206.69 and 1,662.70

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Solution

The fourth proportional to 2,326.09, 3,206.69 and 1,662.70 is: 2,292.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,326.09 : 3,206.69 = 1,662.70 : x
  2. Step 2: Convert to fraction form
    2,326.09/3,206.69 = 1,662.70/x
  3. Step 3: Cross multiply
    2,326.09x = 3,206.69 × 1,662.70
  4. Step 4: Simplify right side
    2,326.09x = 5,331,755.15
  5. Step 5: Solve for x
    x = 5,331,755.15/2,326.09
  6. Step 6: Final answer
    x = 2,292.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.