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Finding the Fourth Proportional to 1,816.63, 2,489.49 and 1,641.67

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Solution

The fourth proportional to 1,816.63, 2,489.49 and 1,641.67 is: 2,249.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,816.63 : 2,489.49 = 1,641.67 : x
  2. Step 2: Convert to fraction form
    1,816.63/2,489.49 = 1,641.67/x
  3. Step 3: Cross multiply
    1,816.63x = 2,489.49 × 1,641.67
  4. Step 4: Simplify right side
    1,816.63x = 4,086,908.67
  5. Step 5: Solve for x
    x = 4,086,908.67/1,816.63
  6. Step 6: Final answer
    x = 2,249.72

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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.