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Finding the Fourth Proportional to 1,729.91, 2,591.48 and 1,641.35

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Solution

The fourth proportional to 1,729.91, 2,591.48 and 1,641.35 is: 2,458.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,729.91 : 2,591.48 = 1,641.35 : x
  2. Step 2: Convert to fraction form
    1,729.91/2,591.48 = 1,641.35/x
  3. Step 3: Cross multiply
    1,729.91x = 2,591.48 × 1,641.35
  4. Step 4: Simplify right side
    1,729.91x = 4,253,504.53
  5. Step 5: Solve for x
    x = 4,253,504.53/1,729.91
  6. Step 6: Final answer
    x = 2,458.81

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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.