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Finding the Fourth Proportional to 1,845.21, 2,767.79 and 546.57

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Solution

The fourth proportional to 1,845.21, 2,767.79 and 546.57 is: 819.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,845.21 : 2,767.79 = 546.57 : x
  2. Step 2: Convert to fraction form
    1,845.21/2,767.79 = 546.57/x
  3. Step 3: Cross multiply
    1,845.21x = 2,767.79 × 546.57
  4. Step 4: Simplify right side
    1,845.21x = 1,512,788.25
  5. Step 5: Solve for x
    x = 1,512,788.25/1,845.21
  6. Step 6: Final answer
    x = 819.85

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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.