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Finding the Fourth Proportional to 2,166.59, 3,249.89 and 1,736.48

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Solution

The fourth proportional to 2,166.59, 3,249.89 and 1,736.48 is: 2,604.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,166.59 : 3,249.89 = 1,736.48 : x
  2. Step 2: Convert to fraction form
    2,166.59/3,249.89 = 1,736.48/x
  3. Step 3: Cross multiply
    2,166.59x = 3,249.89 × 1,736.48
  4. Step 4: Simplify right side
    2,166.59x = 5,643,344.06
  5. Step 5: Solve for x
    x = 5,643,344.06/2,166.59
  6. Step 6: Final answer
    x = 2,604.72

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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.