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Finding the Fourth Proportional to 3,032.75, 4,544.25 and 2,546.75

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Solution

The fourth proportional to 3,032.75, 4,544.25 and 2,546.75 is: 3,816.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,032.75 : 4,544.25 = 2,546.75 : x
  2. Step 2: Convert to fraction form
    3,032.75/4,544.25 = 2,546.75/x
  3. Step 3: Cross multiply
    3,032.75x = 4,544.25 × 2,546.75
  4. Step 4: Simplify right side
    3,032.75x = 11,573,045.97
  5. Step 5: Solve for x
    x = 11,573,045.97/3,032.75
  6. Step 6: Final answer
    x = 3,816.03

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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.