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Finding the Fourth Proportional to 2,249.94, 3,104.82 and 1,660.26

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Solution

The fourth proportional to 2,249.94, 3,104.82 and 1,660.26 is: 2,291.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,249.94 : 3,104.82 = 1,660.26 : x
  2. Step 2: Convert to fraction form
    2,249.94/3,104.82 = 1,660.26/x
  3. Step 3: Cross multiply
    2,249.94x = 3,104.82 × 1,660.26
  4. Step 4: Simplify right side
    2,249.94x = 5,154,808.45
  5. Step 5: Solve for x
    x = 5,154,808.45/2,249.94
  6. Step 6: Final answer
    x = 2,291.09

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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.