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Finding the Fourth Proportional to 2,546.94, 3,819.16 and 903.25

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Solution

The fourth proportional to 2,546.94, 3,819.16 and 903.25 is: 1,354.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,546.94 : 3,819.16 = 903.25 : x
  2. Step 2: Convert to fraction form
    2,546.94/3,819.16 = 903.25/x
  3. Step 3: Cross multiply
    2,546.94x = 3,819.16 × 903.25
  4. Step 4: Simplify right side
    2,546.94x = 3,449,656.27
  5. Step 5: Solve for x
    x = 3,449,656.27/2,546.94
  6. Step 6: Final answer
    x = 1,354.43

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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.