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Finding the Fourth Proportional to 2,546.58, 3,819.39 and 903.12

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Solution

The fourth proportional to 2,546.58, 3,819.39 and 903.12 is: 1,354.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,546.58 : 3,819.39 = 903.12 : x
  2. Step 2: Convert to fraction form
    2,546.58/3,819.39 = 903.12/x
  3. Step 3: Cross multiply
    2,546.58x = 3,819.39 × 903.12
  4. Step 4: Simplify right side
    2,546.58x = 3,449,367.50
  5. Step 5: Solve for x
    x = 3,449,367.50/2,546.58
  6. Step 6: Final answer
    x = 1,354.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.