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Finding the Fourth Proportional to 1,853.61, 2,544.36 and 1,639.09

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Solution

The fourth proportional to 1,853.61, 2,544.36 and 1,639.09 is: 2,249.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,853.61 : 2,544.36 = 1,639.09 : x
  2. Step 2: Convert to fraction form
    1,853.61/2,544.36 = 1,639.09/x
  3. Step 3: Cross multiply
    1,853.61x = 2,544.36 × 1,639.09
  4. Step 4: Simplify right side
    1,853.61x = 4,170,414.12
  5. Step 5: Solve for x
    x = 4,170,414.12/1,853.61
  6. Step 6: Final answer
    x = 2,249.89

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.